102013201200 has 60 divisors (see below), whose sum is σ = 326782291688. Its totient is φ = 27203520000.

The previous prime is 102013201183. The next prime is 102013201211. The reversal of 102013201200 is 2102310201.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42504301 + ... + 42506700.

Almost surely, 2^102013201200 is an apocalyptic number.

102013201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102013201200 is an abundant number, since it is smaller than the sum of its proper divisors (224769090488).

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

102013201200 is a wasteful number, since it uses less digits than its factorization.

102013201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85011022 (or 85011011 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102013201200 its reverse (2102310201), we get a palindrome (104115511401).

The spelling of 102013201200 in words is "one hundred two billion, thirteen million, two hundred one thousand, two hundred".