101256162400 has 72 divisors (see below), whose sum is σ = 248970236760. Its totient is φ = 40211036160.

The previous prime is 101256162347. The next prime is 101256162401. The reversal of 101256162400 is 4261652101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101256162401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344089 + ... + 566488.

It is an arithmetic number, because the mean of its divisors is an integer number (3457919955).

Almost surely, 2^101256162400 is an apocalyptic number.

101256162400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101256162400 is an abundant number, since it is smaller than the sum of its proper divisors (147714074360).

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

101256162400 is a wasteful number, since it uses less digits than its factorization.

101256162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910736 (or 910723 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 101256162400 in words is "one hundred one billion, two hundred fifty-six million, one hundred sixty-two thousand, four hundred".