101111001110093 has 24 divisors (see below), whose sum is σ = 111581199756000. Its totient is φ = 91554838774464.

The previous prime is 101111001110057. The next prime is 101111001110099. The reversal of 101111001110093 is 390011100111101.

It is not a de Polignac number, because 101111001110093 - 2²⁰ = 101111000061517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111001110099) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6200618 + ... + 15513531.

It is an arithmetic number, because the mean of its divisors is an integer number (4649216656500).

Almost surely, 2^{101111001110093} is an apocalyptic number.

101111001110093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101111001110093 is a deficient number, since it is larger than the sum of its proper divisors (10470198645907).

101111001110093 is a wasteful number, since it uses less digits than its factorization.

101111001110093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21714701 (or 21714688 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 20.

Adding to 101111001110093 its reverse (390011100111101), we get a palindrome (491122101221194).

The spelling of 101111001110093 in words is "one hundred one trillion, one hundred eleven billion, one million, one hundred ten thousand, ninety-three".