100221112012120 has 64 divisors (see below), whose sum is σ = 246000902891040. Its totient is φ = 36443503257600.

The previous prime is 100221112012079. The next prime is 100221112012139. The reversal of 100221112012120 is 21210211122001.

It is a junction number, because it is equal to n+sod(n) for n = 100221112012094 and 100221112012103.

It is a congruent number.

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, 28817530 + ... + 32107510.

Almost surely, 2^{100221112012120} is an apocalyptic number.

100221112012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221112012120 is an abundant number, since it is smaller than the sum of its proper divisors (145779790878920).

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

100221112012120 is a wasteful number, since it uses less digits than its factorization.

100221112012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359236 (or 3359232 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100221112012120 its reverse (21210211122001), we get a palindrome (121431323134121).

The spelling of 100221112012120 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twelve million, twelve thousand, one hundred twenty".