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121002100002 = 23274728437187
BaseRepresentation
bin111000010110001001…
…0011000010100100010
3102120022211210120021100
41300230102120110202
53440303014200002
6131330530535230
711512354610520
oct1605422302442
9376284716240
10121002100002
1147353592743
121b54b437516
13b5449ab354
145bdc47d310
153232e4e11c
hex1c2c498522

121002100002 has 96 divisors (see below), whose sum is σ = 306149455872. Its totient is φ = 33819845472.

The previous prime is 121002099997. The next prime is 121002100069. The reversal of 121002100002 is 200001200121.

121002100002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16832653 + ... + 16839839.

It is an arithmetic number, because the mean of its divisors is an integer number (3189056832).

Almost surely, 2121002100002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121002100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153074727936).

121002100002 is an abundant number, since it is smaller than the sum of its proper divisors (185147355870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121002100002 is a wasteful number, since it uses less digits than its factorization.

121002100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10092 (or 10089 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 121002100002 its reverse (200001200121), we get a palindrome (321003300123).

The spelling of 121002100002 in words is "one hundred twenty-one billion, two million, one hundred thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1974 2843 2961 5686 5922 7187 8529 14374 17058 19901 21561 25587 39802 43122 50309 51174 59703 64683 100618 119406 129366 133621 150927 179109 267242 301854 337789 358218 400863 452781 675578 801726 905562 935347 1013367 1202589 1870694 2026734 2364523 2405178 2806041 3040101 4729046 5612082 6080202 7093569 8418123 14187138 16836246 20432641 21280707 40865282 42561414 61297923 122595846 143028487 183893769 286056974 367787538 429085461 858170922 960334127 1287256383 1920668254 2574512766 2881002381 5762004762 6722338889 8643007143 13444677778 17286014286 20167016667 40334033334 60501050001 121002100002