101100130993 has 16 divisors (see below), whose sum is σ = 108669873024. Its totient is φ = 93711340800.

The previous prime is 101100130951. The next prime is 101100131021. The reversal of 101100130993 is 399031001101.

It is a cyclic number.

It is not a de Polignac number, because 101100130993 - 2¹⁷ = 101099999921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100130913) 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, 7169796 + ... + 7183882.

It is an arithmetic number, because the mean of its divisors is an integer number (6791867064).

Almost surely, 2^101100130993 is an apocalyptic number.

It is an amenable number.

101100130993 is a deficient number, since it is larger than the sum of its proper divisors (7569742031).

101100130993 is a wasteful number, since it uses less digits than its factorization.

101100130993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20472.

The product of its (nonzero) digits is 729, while the sum is 28.

The spelling of 101100130993 in words is "one hundred one billion, one hundred million, one hundred thirty thousand, nine hundred ninety-three".