101436138720 has 432 divisors, whose sum is σ = 409283679168. Its totient is φ = 22804346880.

The previous prime is 101436138707. The next prime is 101436138737. The reversal of 101436138720 is 27831634101.

It is a happy number.

101436138720 is a `hidden beast` number, since 1 + 0 + 14 + 3 + 613 + 8 + 7 + 20 = 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 71 ways as a sum of consecutive naturals, for example, 4292377 + ... + 4315943.

It is an arithmetic number, because the mean of its divisors is an integer number (947415924).

Almost surely, 2^101436138720 is an apocalyptic number.

101436138720 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 101436138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204641839584).

101436138720 is an abundant number, since it is smaller than the sum of its proper divisors (307847540448).

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

101436138720 is a wasteful number, since it uses less digits than its factorization.

101436138720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23663 (or 23645 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 101436138720 in words is "one hundred one billion, four hundred thirty-six million, one hundred thirty-eight thousand, seven hundred twenty".