2110012211120 has 80 divisors (see below), whose sum is σ = 5666567593248. Its totient is φ = 722143211520.

The previous prime is 2110012211107. The next prime is 2110012211129. The reversal of 2110012211120 is 211122100112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2110012211120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2110012211095 and 2110012211104.

It is not an unprimeable number, because it can be changed into a prime (2110012211129) 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 15 ways as a sum of consecutive naturals, for example, 70506839 + ... + 70536758.

Almost surely, 2^{2110012211120} is an apocalyptic number.

2110012211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110012211120 is an abundant number, since it is smaller than the sum of its proper divisors (3556555382128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2110012211120 is a wasteful number, since it uses less digits than its factorization.

2110012211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141043638 (or 141043632 counting only the distinct ones).

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

Adding to 2110012211120 its reverse (211122100112), we get a palindrome (2321134311232).

The spelling of 2110012211120 in words is "two trillion, one hundred ten billion, twelve million, two hundred eleven thousand, one hundred twenty".