21100100110011 has 96 divisors (see below), whose sum is σ = 34984368986112. Its totient is φ = 12153706456320.

The previous prime is 21100100109967. The next prime is 21100100110087. The reversal of 21100100110011 is 11001100100112.

It is not a de Polignac number, because 21100100110011 - 2¹⁷ = 21100099978939 is a prime.

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 = 21100100109975 and 21100100110002.

It is not an unprimeable number, because it can be changed into a prime (21100100112011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 953751996 + ... + 953774118.

It is an arithmetic number, because the mean of its divisors is an integer number (364420510272).

Almost surely, 2^{21100100110011} is an apocalyptic number.

21100100110011 is a deficient number, since it is larger than the sum of its proper divisors (13884268876101).

21100100110011 is a wasteful number, since it uses less digits than its factorization.

21100100110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29753 (or 29750 counting only the distinct ones).

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

Adding to 21100100110011 its reverse (11001100100112), we get a palindrome (32101200210123).

The spelling of 21100100110011 in words is "twenty-one trillion, one hundred billion, one hundred million, one hundred ten thousand, eleven".