2120110122011 has 16 divisors (see below), whose sum is σ = 2528725075968. Its totient is φ = 1737955375200.

The previous prime is 2120110122001. The next prime is 2120110122029. The reversal of 2120110122011 is 1102210110212.

It is a cyclic number.

It is not a de Polignac number, because 2120110122011 - 2¹⁴ = 2120110105627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2120110122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8366 + ... + 2059196.

It is an arithmetic number, because the mean of its divisors is an integer number (158045317248).

Almost surely, 2^{2120110122011} is an apocalyptic number.

2120110122011 is a deficient number, since it is larger than the sum of its proper divisors (408614953957).

2120110122011 is a wasteful number, since it uses less digits than its factorization.

2120110122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057282.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2120110122011 its reverse (1102210110212), we get a palindrome (3222320232223).

The spelling of 2120110122011 in words is "two trillion, one hundred twenty billion, one hundred ten million, one hundred twenty-two thousand, eleven".