102661479363200 has 48 divisors (see below), whose sum is σ = 253605935747310. Its totient is φ = 41064591744000.

The previous prime is 102661479363197. The next prime is 102661479363263. The reversal of 102661479363200 is 2363974166201.

It can be written as a sum of positive squares in 3 ways, for example, as 100419799657024 + 2241679706176 = 10020968^2 + 1497224^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 16040852951 + ... + 16040859350.

Almost surely, 2^{102661479363200} is an apocalyptic number.

102661479363200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102661479363200 is an abundant number, since it is smaller than the sum of its proper divisors (150944456384110).

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

102661479363200 is an equidigital number, since it uses as much as digits as its factorization.

102661479363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32081712325 (or 32081712308 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 50.

The spelling of 102661479363200 in words is "one hundred two trillion, six hundred sixty-one billion, four hundred seventy-nine million, three hundred sixty-three thousand, two hundred".