2110122201121 has 96 divisors (see below), whose sum is σ = 2488398071040. Its totient is φ = 1773801216000.

The previous prime is 2110122201079. The next prime is 2110122201149. The reversal of 2110122201121 is 1211022210112.

It is not a de Polignac number, because 2110122201121 - 2³¹ = 2107974717473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2110122201095 and 2110122201104.

It is not an unprimeable number, because it can be changed into a prime (2110122201521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5877777540 + ... + 5877777898.

It is an arithmetic number, because the mean of its divisors is an integer number (25920813240).

Almost surely, 2^{2110122201121} is an apocalyptic number.

It is an amenable number.

2110122201121 is a deficient number, since it is larger than the sum of its proper divisors (378275869919).

2110122201121 is a wasteful number, since it uses less digits than its factorization.

2110122201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2110122201121 its reverse (1211022210112), we get a palindrome (3321144411233).

It can be divided in two parts, 21101 and 22201121, that added together give a palindrome (22222222).

The spelling of 2110122201121 in words is "two trillion, one hundred ten billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty-one".