101425753706400 has 108 divisors (see below), whose sum is σ = 357652564032582. Its totient is φ = 27046867653120.

The previous prime is 101425753706377. The next prime is 101425753706411. The reversal of 101425753706400 is 4607357524101.

101425753706400 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 57 + 537 + 0 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 70412304569616 + 31013449136784 = 8391204^2 + 5568972^2 .

It is a super-2 number, since 2×101425753706400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7043447919 + ... + 7043462318.

Almost surely, 2^{101425753706400} is an apocalyptic number.

101425753706400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101425753706400 is an abundant number, since it is smaller than the sum of its proper divisors (256226810326182).

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

101425753706400 is a wasteful number, since it uses less digits than its factorization.

101425753706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14086910263 (or 14086910247 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 101425753706400 in words is "one hundred one trillion, four hundred twenty-five billion, seven hundred fifty-three million, seven hundred six thousand, four hundred".