102200132211200 has 60 divisors (see below), whose sum is σ = 253208811970290. Its totient is φ = 40880052879360.

The previous prime is 102200132211161. The next prime is 102200132211251. The reversal of 102200132211200 is 2112231002201.

102200132211200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 67265980109056 + 34934152102144 = 8201584^2 + 5910512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3992179865 + ... + 3992205464.

Almost surely, 2^{102200132211200} is an apocalyptic number.

102200132211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200132211200 is an abundant number, since it is smaller than the sum of its proper divisors (151008679759090).

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

102200132211200 is an frugal number, since it uses more digits than its factorization.

102200132211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7984385357 (or 7984385336 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102200132211200 its reverse (2112231002201), we get a palindrome (104312363213401).

The spelling of 102200132211200 in words is "one hundred two trillion, two hundred billion, one hundred thirty-two million, two hundred eleven thousand, two hundred".