21100112011 has 24 divisors (see below), whose sum is σ = 23512144320. Its totient is φ = 18918511920.

The previous prime is 21100111999. The next prime is 21100112017. The reversal of 21100112011 is 11021100112.

It is not a de Polignac number, because 21100112011 - 2¹⁵ = 21100079243 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21100112017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7420356 + ... + 7423198.

It is an arithmetic number, because the mean of its divisors is an integer number (979672680).

Almost surely, 2^21100112011 is an apocalyptic number.

21100112011 is a deficient number, since it is larger than the sum of its proper divisors (2412032309).

21100112011 is a wasteful number, since it uses less digits than its factorization.

21100112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21100112011 its reverse (11021100112), we get a palindrome (32121212123).

The spelling of 21100112011 in words is "twenty-one billion, one hundred million, one hundred twelve thousand, eleven".