122111100100 has 72 divisors (see below), whose sum is σ = 290538154368. Its totient is φ = 44178556800.

The previous prime is 122111100091. The next prime is 122111100101. The reversal of 122111100100 is 1001111221.

It is a super-2 number, since 2×122111100100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (122111100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65052 + ... + 498451.

It is an arithmetic number, because the mean of its divisors is an integer number (4035252144).

Almost surely, 2^122111100100 is an apocalyptic number.

122111100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111100100 is an abundant number, since it is smaller than the sum of its proper divisors (168427054268).

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

122111100100 is a wasteful number, since it uses less digits than its factorization.

122111100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563725 (or 563718 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 122111100100 its reverse (1001111221), we get a palindrome (123112211321).

The spelling of 122111100100 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred thousand, one hundred".