101240116131627 has 16 divisors (see below), whose sum is σ = 163620389708160. Its totient is φ = 61357646140200.

The previous prime is 101240116131617. The next prime is 101240116131667. The reversal of 101240116131627 is 726131611042101.

101240116131627 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 4 + 0 + 1 + 1 + 613 + 16 + 27 = 666.

It is not a de Polignac number, because 101240116131627 - 2⁷ = 101240116131499 is a prime.

It is a super-2 number, since 2×101240116131627² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101240116131591 and 101240116131600.

It is not an unprimeable number, because it can be changed into a prime (101240116131617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170437905649 + ... + 170437906242.

It is an arithmetic number, because the mean of its divisors is an integer number (10226274356760).

Almost surely, 2^{101240116131627} is an apocalyptic number.

101240116131627 is a deficient number, since it is larger than the sum of its proper divisors (62380273576533).

101240116131627 is a wasteful number, since it uses less digits than its factorization.

101240116131627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340875811911 (or 340875811905 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 101240116131627 its reverse (726131611042101), we get a palindrome (827371727173728).

The spelling of 101240116131627 in words is "one hundred one trillion, two hundred forty billion, one hundred sixteen million, one hundred thirty-one thousand, six hundred twenty-seven".