100101110110092 has 192 divisors, whose sum is σ = 319540500464640. Its totient is φ = 26389585009152.

The previous prime is 100101110110061. The next prime is 100101110110147. The reversal of 100101110110092 is 290011011101001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22181368 + ... + 26309984.

It is an arithmetic number, because the mean of its divisors is an integer number (1664273439920).

Almost surely, 2^{100101110110092} is an apocalyptic number.

100101110110092 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 100101110110092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159770250232320).

100101110110092 is an abundant number, since it is smaller than the sum of its proper divisors (219439390354548).

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

100101110110092 is a wasteful number, since it uses less digits than its factorization.

100101110110092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131117 (or 4131109 counting only the distinct ones).

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

Adding to 100101110110092 its reverse (290011011101001), we get a palindrome (390112121211093).

The spelling of 100101110110092 in words is "one hundred trillion, one hundred one billion, one hundred ten million, one hundred ten thousand, ninety-two".