221002220120100 has 144 divisors (see below), whose sum is σ = 684026666866368. Its totient is φ = 54895396700160.

The previous prime is 221002220120057. The next prime is 221002220120107. The reversal of 221002220120100 is 1021022200122.

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 221002220120100.

It is not an unprimeable number, because it can be changed into a prime (221002220120107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222875242 + ... + 223864641.

It is an arithmetic number, because the mean of its divisors is an integer number (4750185186572).

Almost surely, 2^{221002220120100} is an apocalyptic number.

221002220120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002220120100 is an abundant number, since it is smaller than the sum of its proper divisors (463024446746268).

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

221002220120100 is a wasteful number, since it uses less digits than its factorization.

221002220120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446740014 (or 446740007 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221002220120100 its reverse (1021022200122), we get a palindrome (222023242320222).

The spelling of 221002220120100 in words is "two hundred twenty-one trillion, two billion, two hundred twenty million, one hundred twenty thousand, one hundred".