102212200202100 has 144 divisors (see below), whose sum is σ = 296194478090112. Its totient is φ = 27214172375040.

The previous prime is 102212200202041. The next prime is 102212200202173. The reversal of 102212200202100 is 1202002212201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102212200202100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569709009 + ... + 569888391.

It is an arithmetic number, because the mean of its divisors is an integer number (2056906097848).

Almost surely, 2^{102212200202100} is an apocalyptic number.

102212200202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212200202100 is an abundant number, since it is smaller than the sum of its proper divisors (193982277888012).

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

102212200202100 is a wasteful number, since it uses less digits than its factorization.

102212200202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182346 (or 182339 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102212200202100 its reverse (1202002212201), we get a palindrome (103414202414301).

The spelling of 102212200202100 in words is "one hundred two trillion, two hundred twelve billion, two hundred million, two hundred two thousand, one hundred".