100110001111110 has 64 divisors (see below), whose sum is σ = 267243701837760. Its totient is φ = 26667630408960.

The previous prime is 100110001111063. The next prime is 100110001111147. The reversal of 100110001111110 is 11111100011001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100110001111092 and 100110001111101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196758567 + ... + 197266706.

It is an arithmetic number, because the mean of its divisors is an integer number (4175682841215).

Almost surely, 2^{100110001111110} is an apocalyptic number.

100110001111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100110001111110 is an abundant number, since it is smaller than the sum of its proper divisors (167133700726650).

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

100110001111110 is a wasteful number, since it uses less digits than its factorization.

100110001111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394026230 (or 394026224 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100110001111110 its reverse (11111100011001), we get a palindrome (111221101122111).

The spelling of 100110001111110 in words is "one hundred trillion, one hundred ten billion, one million, one hundred eleven thousand, one hundred ten".