122100010132100 has 288 divisors, whose sum is σ = 371213736800256. Its totient is φ = 33602295513600.

The previous prime is 122100010132013. The next prime is 122100010132151. The reversal of 122100010132100 is 1231010001221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24214664 + ... + 28819263.

It is an arithmetic number, because the mean of its divisors is an integer number (1288936586112).

Almost surely, 2^{122100010132100} is an apocalyptic number.

122100010132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100010132100 is an abundant number, since it is smaller than the sum of its proper divisors (249113726668156).

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

122100010132100 is a wasteful number, since it uses less digits than its factorization.

122100010132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53033995 (or 53033988 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 122100010132100 its reverse (1231010001221), we get a palindrome (123331020133321).

The spelling of 122100010132100 in words is "one hundred twenty-two trillion, one hundred billion, ten million, one hundred thirty-two thousand, one hundred".