122122120133100 has 72 divisors (see below), whose sum is σ = 364738065491968. Its totient is φ = 31515385838400.

The previous prime is 122122120133099. The next prime is 122122120133129. The reversal of 122122120133100 is 1331021221221.

It is a super-2 number, since 2×122122120133100² (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, 6565696084 + ... + 6565714683.

Almost surely, 2^{122122120133100} is an apocalyptic number.

122122120133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122120133100 is an abundant number, since it is smaller than the sum of its proper divisors (242615945358868).

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

122122120133100 is a wasteful number, since it uses less digits than its factorization.

122122120133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13131410815 (or 13131410808 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122122120133100 its reverse (1331021221221), we get a palindrome (123453141354321).

The spelling of 122122120133100 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty million, one hundred thirty-three thousand, one hundred".