2110022100112 has 40 divisors (see below), whose sum is σ = 4104047504952. Its totient is φ = 1050917913600.

The previous prime is 2110022100083. The next prime is 2110022100149. The reversal of 2110022100112 is 2110012200112.

It can be written as a sum of positive squares in 4 ways, for example, as 4632708096 + 2105389392016 = 68064^2 + 1450996^2 .

It is a super-2 number, since 2×2110022100112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2110022100092 and 2110022100101.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6853812 + ... + 7155052.

Almost surely, 2^{2110022100112} is an apocalyptic number.

It is an amenable number.

2110022100112 is a deficient number, since it is larger than the sum of its proper divisors (1994025404840).

2110022100112 is a wasteful number, since it uses less digits than its factorization.

2110022100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302947 (or 302941 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2110022100112 its reverse (2110012200112), we get a palindrome (4220034300224).

The spelling of 2110022100112 in words is "two trillion, one hundred ten billion, twenty-two million, one hundred thousand, one hundred twelve".