100122122012100 has 72 divisors (see below), whose sum is σ = 289689698256000. Its totient is φ = 26698953713280.

The previous prime is 100122122011993. The next prime is 100122122012119. The reversal of 100122122012100 is 1210221221001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100122122012100.

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, 27869526 + ... + 31256274.

Almost surely, 2^{100122122012100} is an apocalyptic number.

100122122012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122122012100 is an abundant number, since it is smaller than the sum of its proper divisors (189567576243900).

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

100122122012100 is a wasteful number, since it uses less digits than its factorization.

100122122012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485309 (or 3485302 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100122122012100 its reverse (1210221221001), we get a palindrome (101332343233101).

The spelling of 100122122012100 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, twelve thousand, one hundred".