122131312200100 has 144 divisors (see below), whose sum is σ = 321332537151360. Its totient is φ = 39333011097600.

The previous prime is 122131312200097. The next prime is 122131312200169. The reversal of 122131312200100 is 1002213131221.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4024566 + ... + 16138765.

It is an arithmetic number, because the mean of its divisors is an integer number (2231475952440).

Almost surely, 2^{122131312200100} is an apocalyptic number.

122131312200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122131312200100 is an abundant number, since it is smaller than the sum of its proper divisors (199201224951260).

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

122131312200100 is a wasteful number, since it uses less digits than its factorization.

122131312200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20163878 (or 20163871 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122131312200100 its reverse (1002213131221), we get a palindrome (123133525331321).

The spelling of 122131312200100 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, three hundred twelve million, two hundred thousand, one hundred".