101136084361 has 27 divisors (see below), whose sum is σ = 116416077141. Its totient is φ = 87803773824.

The previous prime is 101136084359. The next prime is 101136084373. The reversal of 101136084361 is 163480631101.

The square root of 101136084361 is 318019.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 913187961 + 100222896400 = 30219^2 + 316580^2 .

It is not a de Polignac number, because 101136084361 - 2¹ = 101136084359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101136084061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70281480 + ... + 70282918.

Almost surely, 2^101136084361 is an apocalyptic number.

101136084361 is the 318019-th square number.

101136084361 is the 159010-th centered octagonal number.

It is an amenable number.

101136084361 is a deficient number, since it is larger than the sum of its proper divisors (15279992780).

101136084361 is an frugal number, since it uses more digits than its factorization.

101136084361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 101136084361 in words is "one hundred one billion, one hundred thirty-six million, eighty-four thousand, three hundred sixty-one".