101361715200 has 432 divisors, whose sum is σ = 376502621040. Its totient is φ = 27026472960.

The previous prime is 101361715199. The next prime is 101361715249. The reversal of 101361715200 is 2517163101.

101361715200 is a `hidden beast` number, since 1 + 0 + 13 + 61 + 71 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×101361715200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12437527 + ... + 12445673.

It is an arithmetic number, because the mean of its divisors is an integer number (871533845).

Almost surely, 2^101361715200 is an apocalyptic number.

101361715200 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 101361715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188251310520).

101361715200 is an abundant number, since it is smaller than the sum of its proper divisors (275140905840).

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

101361715200 is an frugal number, since it uses more digits than its factorization.

101361715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8194 (or 8157 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 101361715200 its reverse (2517163101), we get a palindrome (103878878301).

The spelling of 101361715200 in words is "one hundred one billion, three hundred sixty-one million, seven hundred fifteen thousand, two hundred".