121613516633100 has 144 divisors (see below), whose sum is σ = 358857395719200. Its totient is φ = 31789756876800.

The previous prime is 121613516633093. The next prime is 121613516633101. The reversal of 121613516633100 is 1336615316121.

It is a super-2 number, since 2×121613516633100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121613516633101) 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, 5978625 + ... + 16702424.

It is an arithmetic number, because the mean of its divisors is an integer number (2492065248050).

Almost surely, 2^{121613516633100} is an apocalyptic number.

121613516633100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121613516633100 is an abundant number, since it is smaller than the sum of its proper divisors (237243879086100).

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

121613516633100 is a wasteful number, since it uses less digits than its factorization.

121613516633100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22681420 (or 22681413 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 121613516633100 in words is "one hundred twenty-one trillion, six hundred thirteen billion, five hundred sixteen million, six hundred thirty-three thousand, one hundred".