100100120212000 has 96 divisors (see below), whose sum is σ = 246135634945200. Its totient is φ = 40009174732800.

The previous prime is 100100120211991. The next prime is 100100120212013. The reversal of 100100120212000 is 212021001001.

It can be written as a sum of positive squares in 8 ways, for example, as 31294223327376 + 68805896884624 = 5594124^2 + 8294932^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4459275 + ... + 14835274.

Almost surely, 2^{100100120212000} is an apocalyptic number.

100100120212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100120212000 is an abundant number, since it is smaller than the sum of its proper divisors (146035514733200).

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

100100120212000 is a wasteful number, since it uses less digits than its factorization.

100100120212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19295871 (or 19295853 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100100120212000 its reverse (212021001001), we get a palindrome (100312141213001).

The spelling of 100100120212000 in words is "one hundred trillion, one hundred billion, one hundred twenty million, two hundred twelve thousand".