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100200121021 = 721113142910007
BaseRepresentation
bin101110101010001100…
…1001000001010111101
3100120122010012112200101
41131110121020022331
53120202212333041
6114010432201101
710145023655500
oct1352431101275
9316563175611
10100200121021
11395493a0a80
1217504999191
1395ab109b50
144bc7875137
152916ab9b31
hex17546482bd

100200121021 has 48 divisors (see below), whose sum is σ = 137046349440. Its totient is φ = 72014382720.

The previous prime is 100200121019. The next prime is 100200121033. The reversal of 100200121021 is 120121002001.

It is not a de Polignac number, because 100200121021 - 21 = 100200121019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100200120989 and 100200121007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200125021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10008000 + ... + 10018006.

It is an arithmetic number, because the mean of its divisors is an integer number (2855132280).

Almost surely, 2100200121021 is an apocalyptic number.

100200121021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200121021 is a deficient number, since it is larger than the sum of its proper divisors (36846228419).

100200121021 is a wasteful number, since it uses less digits than its factorization.

100200121021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11474 (or 11467 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100200121021 its reverse (120121002001), we get a palindrome (220321123022).

The spelling of 100200121021 in words is "one hundred billion, two hundred million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 1429 7007 10003 10007 15719 18577 70021 70049 110033 110077 130039 130091 204347 490343 770231 770539 910273 910637 1430429 1431001 5393773 6374459 10013003 10017007 14300003 70119049 100100021 157300033 185900039 700700147 1101100231 1301300273 2044900429 7707701617 9109101911 14314303003 100200121021