102010222102100 has 72 divisors (see below), whose sum is σ = 238397661656448. Its totient is φ = 37664108899200.

The previous prime is 102010222102093. The next prime is 102010222102127. The reversal of 102010222102100 is 1201222010201.

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, 39954905 + ... + 42431295.

Almost surely, 2^{102010222102100} is an apocalyptic number.

102010222102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010222102100 is an abundant number, since it is smaller than the sum of its proper divisors (136387439554348).

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

102010222102100 is a wasteful number, since it uses less digits than its factorization.

102010222102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508105 (or 2508098 counting only the distinct ones).

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

Adding to 102010222102100 its reverse (1201222010201), we get a palindrome (103211444112301).

The spelling of 102010222102100 in words is "one hundred two trillion, ten billion, two hundred twenty-two million, one hundred two thousand, one hundred".