122113100120100 has 72 divisors (see below), whose sum is σ = 362862927452928. Its totient is φ = 31683398947200.

The previous prime is 122113100120087. The next prime is 122113100120107. The reversal of 122113100120100 is 1021001311221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122113100120100.

It is not an unprimeable number, because it can be changed into a prime (122113100120107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5500578996 + ... + 5500601195.

Almost surely, 2^{122113100120100} is an apocalyptic number.

122113100120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122113100120100 is an abundant number, since it is smaller than the sum of its proper divisors (240749827332828).

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

122113100120100 is a wasteful number, since it uses less digits than its factorization.

122113100120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11001180245 (or 11001180238 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 122113100120100 its reverse (1021001311221), we get a palindrome (123134101431321).

The spelling of 122113100120100 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred million, one hundred twenty thousand, one hundred".