2120110111011 has 16 divisors (see below), whose sum is σ = 2844249900800. Its totient is φ = 1404689104800.

The previous prime is 2120110110941. The next prime is 2120110111039. The reversal of 2120110111011 is 1101110110212.

It is not a de Polignac number, because 2120110111011 - 2¹³ = 2120110102819 is a prime.

It is a super-2 number, since 2×2120110111011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120110111081) 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, 21172161 + ... + 21272061.

It is an arithmetic number, because the mean of its divisors is an integer number (177765618800).

Almost surely, 2^{2120110111011} is an apocalyptic number.

2120110111011 is a deficient number, since it is larger than the sum of its proper divisors (724139789789).

2120110111011 is a wasteful number, since it uses less digits than its factorization.

2120110111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143466.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2120110111011 its reverse (1101110110212), we get a palindrome (3221220221223).

The spelling of 2120110111011 in words is "two trillion, one hundred twenty billion, one hundred ten million, one hundred eleven thousand, eleven".