21120111120101 has 16 divisors (see below), whose sum is σ = 25690916136960. Its totient is φ = 16948868248320.

The previous prime is 21120111120047. The next prime is 21120111120149. The reversal of 21120111120101 is 10102111102112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21120111120101 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 (21120111120161) 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 15 ways as a sum of consecutive naturals, for example, 464584406 + ... + 464629863.

It is an arithmetic number, because the mean of its divisors is an integer number (1605682258560).

Almost surely, 2^{21120111120101} is an apocalyptic number.

It is an amenable number.

21120111120101 is a deficient number, since it is larger than the sum of its proper divisors (4570805016859).

21120111120101 is a wasteful number, since it uses less digits than its factorization.

21120111120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929214484.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 21120111120101 its reverse (10102111102112), we get a palindrome (31222222222213).

The spelling of 21120111120101 in words is "twenty-one trillion, one hundred twenty billion, one hundred eleven million, one hundred twenty thousand, one hundred one".