2120111101121 has 64 divisors (see below), whose sum is σ = 2635453739520. Its totient is φ = 1684216934400.

The previous prime is 2120111101093. The next prime is 2120111101123. The reversal of 2120111101121 is 1211011110212.

It is a de Polignac number, because none of the positive numbers 2^k-2120111101121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120111101096 and 2120111101105.

It is not an unprimeable number, because it can be changed into a prime (2120111101123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14816906 + ... + 14959308.

It is an arithmetic number, because the mean of its divisors is an integer number (41178964680).

Almost surely, 2^{2120111101121} is an apocalyptic number.

It is an amenable number.

2120111101121 is a deficient number, since it is larger than the sum of its proper divisors (515342638399).

2120111101121 is a wasteful number, since it uses less digits than its factorization.

2120111101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142586.

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

Adding to 2120111101121 its reverse (1211011110212), we get a palindrome (3331122211333).

Subtracting from 2120111101121 its reverse (1211011110212), we obtain a palindrome (909099990909).

The spelling of 2120111101121 in words is "two trillion, one hundred twenty billion, one hundred eleven million, one hundred one thousand, one hundred twenty-one".