21110100000111 has 24 divisors (see below), whose sum is σ = 31118877129600. Its totient is φ = 13785116245056.

The previous prime is 21110100000109. The next prime is 21110100000211. The reversal of 21110100000111 is 11100000101112.

It is not a de Polignac number, because 21110100000111 - 2¹ = 21110100000109 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 = 21110100000093 and 21110100000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110100000211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36165136 + ... + 36744213.

It is an arithmetic number, because the mean of its divisors is an integer number (1296619880400).

Almost surely, 2^{21110100000111} is an apocalyptic number.

21110100000111 is a deficient number, since it is larger than the sum of its proper divisors (10008777129489).

21110100000111 is a wasteful number, since it uses less digits than its factorization.

21110100000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72910015 (or 72910012 counting only the distinct ones).

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

Adding to 21110100000111 its reverse (11100000101112), we get a palindrome (32210100101223).

The spelling of 21110100000111 in words is "twenty-one trillion, one hundred ten billion, one hundred million, one hundred eleven", and thus it is an aban number.