102221021221100 has 72 divisors (see below), whose sum is σ = 235054384775280. Its totient is φ = 38452640696320.

The previous prime is 102221021221087. The next prime is 102221021221159. The reversal of 102221021221100 is 1122120122201.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 21739769 + ... + 26020368.

It is an arithmetic number, because the mean of its divisors is an integer number (3264644232990).

Almost surely, 2^{102221021221100} is an apocalyptic number.

102221021221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221021221100 is an abundant number, since it is smaller than the sum of its proper divisors (132833363554180).

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

102221021221100 is a wasteful number, since it uses less digits than its factorization.

102221021221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47761427 (or 47761420 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102221021221100 its reverse (1122120122201), we get a palindrome (103343141343301).

The spelling of 102221021221100 in words is "one hundred two trillion, two hundred twenty-one billion, twenty-one million, two hundred twenty-one thousand, one hundred".