122111101000100 has 72 divisors (see below), whose sum is σ = 265192415099136. Its totient is φ = 48805495200000.

The previous prime is 122111101000019. The next prime is 122111101000129. The reversal of 122111101000100 is 1000101111221.

It is a super-2 number, since 2×122111101000100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1201345280 + ... + 1201446920.

It is an arithmetic number, because the mean of its divisors is an integer number (3683227987488).

Almost surely, 2^{122111101000100} is an apocalyptic number.

122111101000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111101000100 is an abundant number, since it is smaller than the sum of its proper divisors (143081314099036).

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

122111101000100 is a wasteful number, since it uses less digits than its factorization.

122111101000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111117 (or 111110 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 122111101000100 its reverse (1000101111221), we get a palindrome (123111202111321).

The spelling of 122111101000100 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred one million, one hundred", and thus it is an aban number.