101331310442201 has 16 divisors (see below), whose sum is σ = 124737266227200. Its totient is φ = 80370488571408.

The previous prime is 101331310442171. The next prime is 101331310442209. The reversal of 101331310442201 is 102244013133101.

It is a de Polignac number, because none of the positive numbers 2^k-101331310442201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101331310442209) 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, 8859175121 + ... + 8859186558.

It is an arithmetic number, because the mean of its divisors is an integer number (7796079139200).

Almost surely, 2^{101331310442201} is an apocalyptic number.

It is an amenable number.

101331310442201 is a deficient number, since it is larger than the sum of its proper divisors (23405955784999).

101331310442201 is a wasteful number, since it uses less digits than its factorization.

101331310442201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17718361748.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 101331310442201 its reverse (102244013133101), we get a palindrome (203575323575302).

The spelling of 101331310442201 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred ten million, four hundred forty-two thousand, two hundred one".