2110122211120 has 640 divisors, whose sum is σ = 6325227159552. Its totient is φ = 635779584000.

The previous prime is 2110122211069. The next prime is 2110122211157. The reversal of 2110122211120 is 211122210112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2110122211094 and 2110122211103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9295692447 + ... + 9295692673.

Almost surely, 2^{2110122211120} is an apocalyptic number.

2110122211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110122211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162613579776).

2110122211120 is an abundant number, since it is smaller than the sum of its proper divisors (4215104948432).

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

2110122211120 is a wasteful number, since it uses less digits than its factorization.

2110122211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 643 counting only the distinct ones).

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

Adding to 2110122211120 its reverse (211122210112), we get a palindrome (2321244421232).

The spelling of 2110122211120 in words is "two trillion, one hundred ten billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty".