101131202131101 has 96 divisors (see below), whose sum is σ = 153394721101440. Its totient is φ = 64142591040000.

The previous prime is 101131202131081. The next prime is 101131202131117.

101131202131101 is a `hidden beast` number, since 10 + 11 + 312 + 0 + 21 + 311 + 0 + 1 = 666.

101131202131101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101131202131101 - 2²¹ = 101131200033949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131202131181) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10214236251 + ... + 10214246151.

It is an arithmetic number, because the mean of its divisors is an integer number (1597861678140).

Almost surely, 2^{101131202131101} is an apocalyptic number.

It is an amenable number.

101131202131101 is a deficient number, since it is larger than the sum of its proper divisors (52263518970339).

101131202131101 is a wasteful number, since it uses less digits than its factorization.

101131202131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13787 (or 13784 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 10113120 and 2131101, that added together give a palindrome (12244221).

The spelling of 101131202131101 in words is "one hundred one trillion, one hundred thirty-one billion, two hundred two million, one hundred thirty-one thousand, one hundred one".