102200210100100 has 72 divisors (see below), whose sum is σ = 253710741959360. Its totient is φ = 35004926286720.

The previous prime is 102200210100097. The next prime is 102200210100151. The reversal of 102200210100100 is 1001012002201.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 72521910 + ... + 73917709.

Almost surely, 2^{102200210100100} is an apocalyptic number.

102200210100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200210100100 is an abundant number, since it is smaller than the sum of its proper divisors (151510531859260).

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

102200210100100 is a wasteful number, since it uses less digits than its factorization.

102200210100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146440637 (or 146440630 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102200210100100 its reverse (1001012002201), we get a palindrome (103201222102301).

The spelling of 102200210100100 in words is "one hundred two trillion, two hundred billion, two hundred ten million, one hundred thousand, one hundred".