101111110000092 has 36 divisors (see below), whose sum is σ = 255586760661960. Its totient is φ = 33703658008032.

The previous prime is 101111110000079. The next prime is 101111110000093. The reversal of 101111110000092 is 290000011111101.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111110000093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35265634 + ... + 38024822.

It is an arithmetic number, because the mean of its divisors is an integer number (7099632240610).

Almost surely, 2^{101111110000092} is an apocalyptic number.

101111110000092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101111110000092 is an abundant number, since it is smaller than the sum of its proper divisors (154475650661868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101111110000092 is a wasteful number, since it uses less digits than its factorization.

101111110000092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3777122 (or 3777117 counting only the distinct ones).

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

Adding to 101111110000092 its reverse (290000011111101), we get a palindrome (391111121111193).

The spelling of 101111110000092 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, ninety-two", and thus it is an aban number.