100221201002120 has 128 divisors (see below), whose sum is σ = 246134129379840. Its totient is φ = 36423837527040.

The previous prime is 100221201002107. The next prime is 100221201002129. The reversal of 100221201002120 is 21200102122001.

It is a junction number, because it is equal to n+sod(n) for n = 100221201002095 and 100221201002104.

It is not an unprimeable number, because it can be changed into a prime (100221201002129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7856166782 + ... + 7856179538.

It is an arithmetic number, because the mean of its divisors is an integer number (1922922885780).

Almost surely, 2^{100221201002120} is an apocalyptic number.

100221201002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221201002120 is an abundant number, since it is smaller than the sum of its proper divisors (145912928377720).

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

100221201002120 is a wasteful number, since it uses less digits than its factorization.

100221201002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21295 (or 21291 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100221201002120 its reverse (21200102122001), we get a palindrome (121421303124121).

The spelling of 100221201002120 in words is "one hundred trillion, two hundred twenty-one billion, two hundred one million, two thousand, one hundred twenty".