2120111110101 has 32 divisors (see below), whose sum is σ = 3053412246528. Its totient is φ = 1305735275520.

The previous prime is 2120111110099. The next prime is 2120111110171. The reversal of 2120111110101 is 1010111110212.

It is not a de Polignac number, because 2120111110101 - 2¹ = 2120111110099 is a prime.

It is a super-2 number, since 2×2120111110101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120111110171) 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 31 ways as a sum of consecutive naturals, for example, 5630196 + ... + 5994941.

It is an arithmetic number, because the mean of its divisors is an integer number (95419132704).

Almost surely, 2^{2120111110101} is an apocalyptic number.

It is an amenable number.

2120111110101 is a deficient number, since it is larger than the sum of its proper divisors (933301136427).

2120111110101 is a wasteful number, since it uses less digits than its factorization.

2120111110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11625261.

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

Adding to 2120111110101 its reverse (1010111110212), we get a palindrome (3130222220313).

It can be divided in two parts, 21201111 and 10101, that added together give a palindrome (21211212).

The spelling of 2120111110101 in words is "two trillion, one hundred twenty billion, one hundred eleven million, one hundred ten thousand, one hundred one".