102011220022100 has 72 divisors (see below), whose sum is σ = 234452933301888. Its totient is φ = 38393220851200.

The previous prime is 102011220022093. The next prime is 102011220022111. The reversal of 102011220022100 is 1220022110201.

It is a congruent number.

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, 2659772 + ... + 14529171.

It is an arithmetic number, because the mean of its divisors is an integer number (3256290740304).

Almost surely, 2^{102011220022100} is an apocalyptic number.

102011220022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011220022100 is an abundant number, since it is smaller than the sum of its proper divisors (132441713279788).

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

102011220022100 is a wasteful number, since it uses less digits than its factorization.

102011220022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17192465 (or 17192458 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102011220022100 its reverse (1220022110201), we get a palindrome (103231242132301).

The spelling of 102011220022100 in words is "one hundred two trillion, eleven billion, two hundred twenty million, twenty-two thousand, one hundred".