221010100120 has 32 divisors (see below), whose sum is σ = 497510956800. Its totient is φ = 88361687808.

The previous prime is 221010100099. The next prime is 221010100211. The reversal of 221010100120 is 21001010122.

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

It is a junction number, because it is equal to n+sod(n) for n = 221010100097 and 221010100106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1238904 + ... + 1406023.

It is an arithmetic number, because the mean of its divisors is an integer number (15547217400).

Almost surely, 2^221010100120 is an apocalyptic number.

221010100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010100120 is an abundant number, since it is smaller than the sum of its proper divisors (276500856680).

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

221010100120 is a wasteful number, since it uses less digits than its factorization.

221010100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647027 (or 2647023 counting only the distinct ones).

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

Adding to 221010100120 its reverse (21001010122), we get a palindrome (242011110242).

The spelling of 221010100120 in words is "two hundred twenty-one billion, ten million, one hundred thousand, one hundred twenty".