101100610510113 has 16 divisors (see below), whose sum is σ = 148935937735296. Its totient is φ = 60677604261120.

The previous prime is 101100610510111. The next prime is 101100610510153. The reversal of 101100610510113 is 311015016001101.

It is not a de Polignac number, because 101100610510113 - 2¹ = 101100610510111 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101100610510113.

It is not an unprimeable number, because it can be changed into a prime (101100610510111) 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, 43094888218 + ... + 43094890563.

It is an arithmetic number, because the mean of its divisors is an integer number (9308496108456).

Almost surely, 2^{101100610510113} is an apocalyptic number.

It is an amenable number.

101100610510113 is a deficient number, since it is larger than the sum of its proper divisors (47835327225183).

101100610510113 is a wasteful number, since it uses less digits than its factorization.

101100610510113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86189778824.

The product of its (nonzero) digits is 90, while the sum is 21.

Adding to 101100610510113 its reverse (311015016001101), we get a palindrome (412115626511214).

The spelling of 101100610510113 in words is "one hundred one trillion, one hundred billion, six hundred ten million, five hundred ten thousand, one hundred thirteen".