221001021120120 has 64 divisors (see below), whose sum is σ = 664499684430720. Its totient is φ = 58800572648064.

The previous prime is 221001021120097. The next prime is 221001021120149. The reversal of 221001021120120 is 21021120100122.

It is a super-2 number, since 2×221001021120120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221001021120120.

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, 2078586994 + ... + 2078693313.

It is an arithmetic number, because the mean of its divisors is an integer number (10382807569230).

Almost surely, 2^{221001021120120} is an apocalyptic number.

221001021120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001021120120 is an abundant number, since it is smaller than the sum of its proper divisors (443498663310600).

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

221001021120120 is a wasteful number, since it uses less digits than its factorization.

221001021120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157280764 (or 4157280760 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221001021120120 its reverse (21021120100122), we get a palindrome (242022141220242).

The spelling of 221001021120120 in words is "two hundred twenty-one trillion, one billion, twenty-one million, one hundred twenty thousand, one hundred twenty".