101136400665300 has 1728 divisors, whose sum is σ = 434399371660800. Its totient is φ = 19002802176000.

The previous prime is 101136400665283. The next prime is 101136400665319. The reversal of 101136400665300 is 3566004631101.

101136400665300 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 64 + 0 + 0 + 66 + 530 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9799084140 + ... + 9799094460.

Almost surely, 2^{101136400665300} is an apocalyptic number.

101136400665300 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 101136400665300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217199685830400).

101136400665300 is an abundant number, since it is smaller than the sum of its proper divisors (333262970995500).

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

101136400665300 is a wasteful number, since it uses less digits than its factorization.

101136400665300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10594 (or 10584 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 101136400665300 in words is "one hundred one trillion, one hundred thirty-six billion, four hundred million, six hundred sixty-five thousand, three hundred".