101100050605600 has 36 divisors (see below), whose sum is σ = 246810498542874. Its totient is φ = 40440020241920.

The previous prime is 101100050605523. The next prime is 101100050605613. The reversal of 101100050605600 is 6506050001101.

It can be written as a sum of positive squares in 3 ways, for example, as 85885963131024 + 15214087474576 = 9267468^2 + 3900524^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 63187530829 + ... + 63187532428.

Almost surely, 2^{101100050605600} is an apocalyptic number.

101100050605600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100050605600 is an abundant number, since it is smaller than the sum of its proper divisors (145710447937274).

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

101100050605600 is a wasteful number, since it uses less digits than its factorization.

101100050605600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126375063277 (or 126375063264 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 101100050605600 in words is "one hundred one trillion, one hundred billion, fifty million, six hundred five thousand, six hundred".