101024197056 has 112 divisors (see below), whose sum is σ = 297113025280. Its totient is φ = 33661059840.

The previous prime is 101024197049. The next prime is 101024197061. The reversal of 101024197056 is 650791420101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101024197056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4812375 + ... + 4833321.

Almost surely, 2^101024197056 is an apocalyptic number.

101024197056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101024197056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148556512640).

101024197056 is an abundant number, since it is smaller than the sum of its proper divisors (196088828224).

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

101024197056 is a wasteful number, since it uses less digits than its factorization.

101024197056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23759 (or 23743 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 101024197056 in words is "one hundred one billion, twenty-four million, one hundred ninety-seven thousand, fifty-six".