122112002120100 has 36 divisors (see below), whose sum is σ = 353310726135024. Its totient is φ = 32563200565280.

The previous prime is 122112002119951. The next prime is 122112002120149. The reversal of 122112002120100 is 1021200211221.

It is a super-2 number, since 2×122112002120100² (a number of 29 digits) contains 22 as substring.

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 122112002120100.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 203520003234 + ... + 203520003833.

It is an arithmetic number, because the mean of its divisors is an integer number (9814186837084).

Almost surely, 2^{122112002120100} is an apocalyptic number.

122112002120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112002120100 is an abundant number, since it is smaller than the sum of its proper divisors (231198724014924).

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

122112002120100 is a wasteful number, since it uses less digits than its factorization.

122112002120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407040007084 (or 407040007077 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122112002120100 its reverse (1021200211221), we get a palindrome (123133202331321).

The spelling of 122112002120100 in words is "one hundred twenty-two trillion, one hundred twelve billion, two million, one hundred twenty thousand, one hundred".