2100112011 has 12 divisors (see below), whose sum is σ = 3062947888. Its totient is φ = 1386481104.

The previous prime is 2100111989. The next prime is 2100112013. The reversal of 2100112011 is 1102110012.

It is a happy number.

It is not a de Polignac number, because 2100112011 - 2⁶ = 2100111947 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 = 2100111984 and 2100112002.

It is not an unprimeable number, because it can be changed into a prime (2100112013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1131820 + ... + 1133673.

Almost surely, 2^2100112011 is an apocalyptic number.

2100112011 is a deficient number, since it is larger than the sum of its proper divisors (962835877).

2100112011 is a wasteful number, since it uses less digits than its factorization.

2100112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265602 (or 2265599 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2100112011 is about 45826.9790734672. The cubic root of 2100112011 is about 1280.6019326705.

Adding to 2100112011 its reverse (1102110012), we get a palindrome (3202222023).

The spelling of 2100112011 in words is "two billion, one hundred million, one hundred twelve thousand, eleven".