101256406353 has 24 divisors (see below), whose sum is σ = 147471105600. Its totient is φ = 66946373280.

The previous prime is 101256406319. The next prime is 101256406369. The reversal of 101256406353 is 353604652101.

101256406353 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 5 + 640 + 6 + 3 + 5 + 3 = 666.

It is not a de Polignac number, because 101256406353 - 2⁹ = 101256405841 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101256406253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 803548 + ... + 920978.

It is an arithmetic number, because the mean of its divisors is an integer number (6144629400).

Almost surely, 2^101256406353 is an apocalyptic number.

It is an amenable number.

101256406353 is a deficient number, since it is larger than the sum of its proper divisors (46214699247).

101256406353 is a wasteful number, since it uses less digits than its factorization.

101256406353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118229 (or 118226 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 101256406353 in words is "one hundred one billion, two hundred fifty-six million, four hundred six thousand, three hundred fifty-three".