21100002111101 has 4 divisors (see below), whose sum is σ = 21117778019712. Its totient is φ = 21082226202492.

The previous prime is 21100002111077. The next prime is 21100002111161. The reversal of 21100002111101 is 10111120000112.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 21100002111101 - 2⁶ = 21100002111037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100002111161) 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 3 ways as a sum of consecutive naturals, for example, 8887952525 + ... + 8887954898.

It is an arithmetic number, because the mean of its divisors is an integer number (5279444504928).

Almost surely, 2^{21100002111101} is an apocalyptic number.

It is an amenable number.

21100002111101 is a deficient number, since it is larger than the sum of its proper divisors (17775908611).

21100002111101 is a wasteful number, since it uses less digits than its factorization.

21100002111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17775908610.

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

Adding to 21100002111101 its reverse (10111120000112), we get a palindrome (31211122111213).

The spelling of 21100002111101 in words is "twenty-one trillion, one hundred billion, two million, one hundred eleven thousand, one hundred one".