101055441875600 has 60 divisors (see below), whose sum is σ = 249347474794164. Its totient is φ = 39329685480960.

The previous prime is 101055441875567. The next prime is 101055441875623. The reversal of 101055441875600 is 6578144550101.

101055441875600 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 6 ways, for example, as 4513891166464 + 96541550709136 = 2124592^2 + 9825556^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3414020399 + ... + 3414049998.

Almost surely, 2^{101055441875600} is an apocalyptic number.

101055441875600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101055441875600 is an abundant number, since it is smaller than the sum of its proper divisors (148292032918564).

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

101055441875600 is a wasteful number, since it uses less digits than its factorization.

101055441875600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6828070452 (or 6828070441 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 47.

The spelling of 101055441875600 in words is "one hundred one trillion, fifty-five billion, four hundred forty-one million, eight hundred seventy-five thousand, six hundred".