101256461400 has 48 divisors (see below), whose sum is σ = 313895032200. Its totient is φ = 27001722880.

The previous prime is 101256461359. The next prime is 101256461401. The reversal of 101256461400 is 4164652101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101256461401) 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, 84379785 + ... + 84380984.

Almost surely, 2^101256461400 is an apocalyptic number.

101256461400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101256461400 is an abundant number, since it is smaller than the sum of its proper divisors (212638570800).

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

101256461400 is a wasteful number, since it uses less digits than its factorization.

101256461400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168760788 (or 168760779 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 101256461400 in words is "one hundred one billion, two hundred fifty-six million, four hundred sixty-one thousand, four hundred".