100121102120000 has 140 divisors (see below), whose sum is σ = 267365317895676. Its totient is φ = 36967791360000.

The previous prime is 100121102119949. The next prime is 100121102120021. The reversal of 100121102120000 is 21201121001.

It can be written as a sum of positive squares in 10 ways, for example, as 93377898074176 + 6743204045824 = 9663224^2 + 2596768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95750291 + ... + 96790290.

Almost surely, 2^{100121102120000} is an apocalyptic number.

100121102120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121102120000 is an abundant number, since it is smaller than the sum of its proper divisors (167244215775676).

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

100121102120000 is an equidigital number, since it uses as much as digits as its factorization.

100121102120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192540626 (or 192540601 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100121102120000 its reverse (21201121001), we get a palindrome (100142303241001).

The spelling of 100121102120000 in words is "one hundred trillion, one hundred twenty-one billion, one hundred two million, one hundred twenty thousand".