101157836486420 has 72 divisors (see below), whose sum is σ = 260120151012960. Its totient is φ = 32857282221120.

The previous prime is 101157836486417. The next prime is 101157836486459. The reversal of 101157836486420 is 24684638751101.

It is a super-2 number, since 2×101157836486420² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2716357226 + ... + 2716394465.

It is an arithmetic number, because the mean of its divisors is an integer number (3612779875180).

Almost surely, 2^{101157836486420} is an apocalyptic number.

101157836486420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101157836486420 is an abundant number, since it is smaller than the sum of its proper divisors (158962314526540).

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

101157836486420 is a wasteful number, since it uses less digits than its factorization.

101157836486420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5432751733 (or 5432751724 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 56.

The spelling of 101157836486420 in words is "one hundred one trillion, one hundred fifty-seven billion, eight hundred thirty-six million, four hundred eighty-six thousand, four hundred twenty".