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10102122120 = 233584184351
BaseRepresentation
bin10010110100010001…
…00010011010001000
3222002000220222100010
421122020202122020
5131142120401440
64350231311520
7505224423036
oct113210423210
928060828303
1010102122120
114314425962
121b5b21b5a0
13c4cbc4b6c
146bb947556
153e1d31580
hex25a222688

10102122120 has 32 divisors (see below), whose sum is σ = 30306366720. Its totient is φ = 2693899200.

The previous prime is 10102122119. The next prime is 10102122209. The reversal of 10102122120 is 2122120101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10102122096 and 10102122105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42092056 + ... + 42092295.

It is an arithmetic number, because the mean of its divisors is an integer number (947073960).

Almost surely, 210102122120 is an apocalyptic number.

10102122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102122120 is an abundant number, since it is smaller than the sum of its proper divisors (20204244600).

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

10102122120 is a wasteful number, since it uses less digits than its factorization.

10102122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84184365 (or 84184361 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10102122120 its reverse (2122120101), we get a palindrome (12224242221).

The spelling of 10102122120 in words is "ten billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 84184351 168368702 252553053 336737404 420921755 505106106 673474808 841843510 1010212212 1262765265 1683687020 2020424424 2525530530 3367374040 5051061060 10102122120