21100002110111 has 16 divisors (see below), whose sum is σ = 21863493749760. Its totient is φ = 20338908075360.

The previous prime is 21100002110021. The next prime is 21100002110153. The reversal of 21100002110111 is 11101120000112.

It is a cyclic number.

It is not a de Polignac number, because 21100002110111 - 2¹⁴ = 21100002093727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21100002110092 and 21100002110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100002110171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509112356 + ... + 509153798.

It is an arithmetic number, because the mean of its divisors is an integer number (1366468359360).

Almost surely, 2^{21100002110111} is an apocalyptic number.

21100002110111 is a deficient number, since it is larger than the sum of its proper divisors (763491639649).

21100002110111 is a wasteful number, since it uses less digits than its factorization.

21100002110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69926.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21100002110111 its reverse (11101120000112), we get a palindrome (32201122110223).

The spelling of 21100002110111 in words is "twenty-one trillion, one hundred billion, two million, one hundred ten thousand, one hundred eleven".