110100112011 has 12 divisors (see below), whose sum is σ = 163331698192. Its totient is φ = 71416288656.

The previous prime is 110100111977. The next prime is 110100112021. The reversal of 110100112011 is 110211001011.

It is not a de Polignac number, because 110100112011 - 2¹⁴ = 110100095627 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110100111984 and 110100112002.

It is not an unprimeable number, because it can be changed into a prime (110100112021) 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, 165315151 + ... + 165315816.

Almost surely, 2^110100112011 is an apocalyptic number.

110100112011 is a deficient number, since it is larger than the sum of its proper divisors (53231586181).

110100112011 is a wasteful number, since it uses less digits than its factorization.

110100112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330631010 (or 330631007 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110100112011 its reverse (110211001011), we get a palindrome (220311113022).

It can be divided in two parts, 110100 and 112011, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 110100112011 in words is "one hundred ten billion, one hundred million, one hundred twelve thousand, eleven".