100212220022120 has 64 divisors (see below), whose sum is σ = 235795703166720. Its totient is φ = 38258167140864.

The previous prime is 100212220022093. The next prime is 100212220022207. The reversal of 100212220022120 is 21220022212001.

It is a happy number.

It is a super-2 number, since 2×100212220022120² (a number of 29 digits) contains 22 as substring.

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, 118754972 + ... + 119595851.

It is an arithmetic number, because the mean of its divisors is an integer number (3684307861980).

Almost surely, 2^{100212220022120} is an apocalyptic number.

100212220022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212220022120 is an abundant number, since it is smaller than the sum of its proper divisors (135583483144600).

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

100212220022120 is a wasteful number, since it uses less digits than its factorization.

100212220022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238351314 (or 238351310 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 100212220022120 its reverse (21220022212001), we get a palindrome (121432242234121).

The spelling of 100212220022120 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty million, twenty-two thousand, one hundred twenty".