102132203221200 has 120 divisors (see below), whose sum is σ = 328151901599776. Its totient is φ = 27152972352000.

The previous prime is 102132203221187. The next prime is 102132203221253. The reversal of 102132203221200 is 2122302231201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×102132203221200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 128168011 + ... + 128962410.

Almost surely, 2^{102132203221200} is an apocalyptic number.

102132203221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102132203221200 is an abundant number, since it is smaller than the sum of its proper divisors (226019698378576).

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

102132203221200 is a wasteful number, since it uses less digits than its factorization.

102132203221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257130773 (or 257130762 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102132203221200 its reverse (2122302231201), we get a palindrome (104254505452401).

The spelling of 102132203221200 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred three million, two hundred twenty-one thousand, two hundred".