122121333102100 has 54 divisors (see below), whose sum is σ = 267601121761470. Its totient is φ = 48374275216320.

The previous prime is 122121333102049. The next prime is 122121333102149. The reversal of 122121333102100 is 1201333121221.

It can be written as a sum of positive squares in 3 ways, for example, as 2337633060624 + 119783700041476 = 1528932^2 + 10944574^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56494635 + ... + 58616434.

Almost surely, 2^{122121333102100} is an apocalyptic number.

122121333102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121333102100 is an abundant number, since it is smaller than the sum of its proper divisors (145479788659370).

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

122121333102100 is a wasteful number, since it uses less digits than its factorization.

122121333102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115111289 (or 115111179 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 122121333102100 its reverse (1201333121221), we get a palindrome (123322666223321).

The spelling of 122121333102100 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, three hundred thirty-three million, one hundred two thousand, one hundred".