2120121111011 has 16 divisors (see below), whose sum is σ = 2202540215040. Its totient is φ = 2038619698560.

The previous prime is 2120121110999. The next prime is 2120121111047. The reversal of 2120121111011 is 1101111210212.

It is not a de Polignac number, because 2120121111011 - 2¹⁰ = 2120121109987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120121111811) 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, 2769641 + ... + 3451253.

It is an arithmetic number, because the mean of its divisors is an integer number (137658763440).

Almost surely, 2^{2120121111011} is an apocalyptic number.

2120121111011 is a deficient number, since it is larger than the sum of its proper divisors (82419104029).

2120121111011 is a wasteful number, since it uses less digits than its factorization.

2120121111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682286.

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

Adding to 2120121111011 its reverse (1101111210212), we get a palindrome (3221232321223).

The spelling of 2120121111011 in words is "two trillion, one hundred twenty billion, one hundred twenty-one million, one hundred eleven thousand, eleven".