122311310112100 has 36 divisors (see below), whose sum is σ = 265416615656500. Its totient is φ = 48924326309760.

The previous prime is 122311310112097. The next prime is 122311310112139. The reversal of 122311310112100 is 1211013113221.

It can be written as a sum of positive squares in 6 ways, for example, as 9097751997504 + 113213558114596 = 3016248^2 + 10640186^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23781826 + ... + 28463974.

Almost surely, 2^{122311310112100} is an apocalyptic number.

122311310112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122311310112100 is an abundant number, since it is smaller than the sum of its proper divisors (143105305544400).

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

122311310112100 is a wasteful number, since it uses less digits than its factorization.

122311310112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943392 (or 4943385 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 122311310112100 its reverse (1211013113221), we get a palindrome (123522323225321).

The spelling of 122311310112100 in words is "one hundred twenty-two trillion, three hundred eleven billion, three hundred ten million, one hundred twelve thousand, one hundred".