10110111100092 has 432 divisors, whose sum is σ = 27601761489120. Its totient is φ = 3117657600000.

The previous prime is 10110111100081. The next prime is 10110111100121. The reversal of 10110111100092 is 29000111101101.

10110111100092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25990002634 + ... + 25990003022.

It is an arithmetic number, because the mean of its divisors is an integer number (63892966410).

Almost surely, 2^{10110111100092} is an apocalyptic number.

10110111100092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110111100092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13800880744560).

10110111100092 is an abundant number, since it is smaller than the sum of its proper divisors (17491650389028).

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

10110111100092 is a wasteful number, since it uses less digits than its factorization.

10110111100092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 790 counting only the distinct ones).

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

Adding to 10110111100092 its reverse (29000111101101), we get a palindrome (39110222201193).

The spelling of 10110111100092 in words is "ten trillion, one hundred ten billion, one hundred eleven million, one hundred thousand, ninety-two".