102102202200200 has 96 divisors (see below), whose sum is σ = 249891593116800. Its totient is φ = 38689829832960.

The previous prime is 102102202200149. The next prime is 102102202200233. The reversal of 102102202200200 is 2002202201201.

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, 97912754 + ... + 98950046.

It is an arithmetic number, because the mean of its divisors is an integer number (2603037428300).

Almost surely, 2^{102102202200200} is an apocalyptic number.

102102202200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102202200200 is an abundant number, since it is smaller than the sum of its proper divisors (147789390916600).

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

102102202200200 is a wasteful number, since it uses less digits than its factorization.

102102202200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063231 (or 1063222 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102102202200200 its reverse (2002202201201), we get a palindrome (104104404401401).

The spelling of 102102202200200 in words is "one hundred two trillion, one hundred two billion, two hundred two million, two hundred thousand, two hundred".