101312114545920 has 144 divisors (see below), whose sum is σ = 342598834630080. Its totient is φ = 25427354222592.

The previous prime is 101312114545913. The next prime is 101312114545949. The reversal of 101312114545920 is 29545411213101.

It is a super-2 number, since 2×101312114545920² (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 15 ways as a sum of consecutive naturals, for example, 775915990 + ... + 776046549.

It is an arithmetic number, because the mean of its divisors is an integer number (2379158573820).

Almost surely, 2^{101312114545920} is an apocalyptic number.

101312114545920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101312114545920 is an abundant number, since it is smaller than the sum of its proper divisors (241286720084160).

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

101312114545920 is a wasteful number, since it uses less digits than its factorization.

101312114545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551962580 (or 1551962566 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 101312114545920 in words is "one hundred one trillion, three hundred twelve billion, one hundred fourteen million, five hundred forty-five thousand, nine hundred twenty".