2120121011111 has 16 divisors (see below), whose sum is σ = 2146740967488. Its totient is φ = 2093621644800.

The previous prime is 2120121011093. The next prime is 2120121011159. The reversal of 2120121011111 is 1111101210212.

It is a cyclic number.

It is not a de Polignac number, because 2120121011111 - 2²⁶ = 2120053902247 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 (2120121013111) 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, 110869631 + ... + 110888751.

It is an arithmetic number, because the mean of its divisors is an integer number (134171310468).

Almost surely, 2^{2120121011111} is an apocalyptic number.

2120121011111 is a deficient number, since it is larger than the sum of its proper divisors (26619956377).

2120121011111 is a wasteful number, since it uses less digits than its factorization.

2120121011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22202.

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

Adding to 2120121011111 its reverse (1111101210212), we get a palindrome (3231222221323).

The spelling of 2120121011111 in words is "two trillion, one hundred twenty billion, one hundred twenty-one million, eleven thousand, one hundred eleven".