102112200012200 has 48 divisors (see below), whose sum is σ = 271326702893280. Its totient is φ = 35009897146560.

The previous prime is 102112200012191. The next prime is 102112200012217. The reversal of 102112200012200 is 2210002211201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36468641462 + ... + 36468644261.

It is an arithmetic number, because the mean of its divisors is an integer number (5652639643610).

Almost surely, 2^{102112200012200} is an apocalyptic number.

102112200012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112200012200 is an abundant number, since it is smaller than the sum of its proper divisors (169214502881080).

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

102112200012200 is a wasteful number, since it uses less digits than its factorization.

102112200012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72937285746 (or 72937285737 counting only the distinct ones).

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

Adding to 102112200012200 its reverse (2210002211201), we get a palindrome (104322202223401).

The spelling of 102112200012200 in words is "one hundred two trillion, one hundred twelve billion, two hundred million, twelve thousand, two hundred".