122001111200100 has 72 divisors (see below), whose sum is σ = 385079870998368. Its totient is φ = 29576026956800.

The previous prime is 122001111200093. The next prime is 122001111200107. The reversal of 122001111200100 is 1002111100221.

It is an interprime number because it is at equal distance from previous prime (122001111200093) and next prime (122001111200107).

It is a super-2 number, since 2×122001111200100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (122001111200107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18485013549 + ... + 18485020148.

It is an arithmetic number, because the mean of its divisors is an integer number (5348331541644).

Almost surely, 2^{122001111200100} is an apocalyptic number.

122001111200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001111200100 is an abundant number, since it is smaller than the sum of its proper divisors (263078759798268).

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

122001111200100 is a wasteful number, since it uses less digits than its factorization.

122001111200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36970033725 (or 36970033718 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122001111200100 its reverse (1002111100221), we get a palindrome (123003222300321).

The spelling of 122001111200100 in words is "one hundred twenty-two trillion, one billion, one hundred eleven million, two hundred thousand, one hundred".