101315610594400 has 288 divisors, whose sum is σ = 263860524345600. Its totient is φ = 37879035955200.

The previous prime is 101315610594389. The next prime is 101315610594427. The reversal of 101315610594400 is 4495016513101.

It is a super-2 number, since 2×101315610594400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421026115 + ... + 421266685.

It is an arithmetic number, because the mean of its divisors is an integer number (916182376200).

Almost surely, 2^{101315610594400} is an apocalyptic number.

101315610594400 is a gapful number since it is divisible by the number (10) 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 101315610594400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131930262172800).

101315610594400 is an abundant number, since it is smaller than the sum of its proper divisors (162544913751200).

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

101315610594400 is a wasteful number, since it uses less digits than its factorization.

101315610594400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240982 (or 240969 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 101315610594400 in words is "one hundred one trillion, three hundred fifteen billion, six hundred ten million, five hundred ninety-four thousand, four hundred".