100110010992810 has 512 divisors, whose sum is σ = 314140489850880. Its totient is φ = 19826933760000.

The previous prime is 100110010992809. The next prime is 100110010992857. The reversal of 100110010992810 is 18299010011001.

It is a super-2 number, since 2×100110010992810² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2512718490 + ... + 2512758330.

It is an arithmetic number, because the mean of its divisors is an integer number (613555644240).

Almost surely, 2^{100110010992810} is an apocalyptic number.

100110010992810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110010992810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157070244925440).

100110010992810 is an abundant number, since it is smaller than the sum of its proper divisors (214030478858070).

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

100110010992810 is a wasteful number, since it uses less digits than its factorization.

100110010992810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40334.

The product of its (nonzero) digits is 1296, while the sum is 33.

The spelling of 100110010992810 in words is "one hundred trillion, one hundred ten billion, ten million, nine hundred ninety-two thousand, eight hundred ten".