102132013200 has 180 divisors, whose sum is σ = 380577449520. Its totient is φ = 23344446720.

The previous prime is 102132013183. The next prime is 102132013283. The reversal of 102132013200 is 2310231201.

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 102132013200.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 809670 + ... + 927269.

It is an arithmetic number, because the mean of its divisors is an integer number (2114319164).

Almost surely, 2^102132013200 is an apocalyptic number.

102132013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102132013200 is an abundant number, since it is smaller than the sum of its proper divisors (278445436320).

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

102132013200 is a wasteful number, since it uses less digits than its factorization.

102132013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736974 (or 1736956 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102132013200 its reverse (2310231201), we get a palindrome (104442244401).

The spelling of 102132013200 in words is "one hundred two billion, one hundred thirty-two million, thirteen thousand, two hundred".