102221120100 has 72 divisors (see below), whose sum is σ = 322647036768. Its totient is φ = 24780876800.

The previous prime is 102221120051. The next prime is 102221120147. The reversal of 102221120100 is 1021122201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15484749 + ... + 15491348.

It is an arithmetic number, because the mean of its divisors is an integer number (4481208844).

Almost surely, 2^102221120100 is an apocalyptic number.

102221120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221120100 is an abundant number, since it is smaller than the sum of its proper divisors (220425916668).

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

102221120100 is a wasteful number, since it uses less digits than its factorization.

102221120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30976125 (or 30976118 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102221120100 its reverse (1021122201), we get a palindrome (103242242301).

The spelling of 102221120100 in words is "one hundred two billion, two hundred twenty-one million, one hundred twenty thousand, one hundred".