2110222220112 has 120 divisors (see below), whose sum is σ = 6070432601376. Its totient is φ = 683817769728.

The previous prime is 2110222220101. The next prime is 2110222220131.

It is a happy number.

2110222220112 is a `hidden beast` number, since 2 + 110 + 222 + 220 + 112 = 666.

2110222220112 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2110222220112³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6157503 + ... + 6491169.

Almost surely, 2^{2110222220112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110222220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035216300688).

2110222220112 is an abundant number, since it is smaller than the sum of its proper divisors (3960210381264).

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

2110222220112 is a wasteful number, since it uses less digits than its factorization.

2110222220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334905 (or 334896 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

It can be divided in two parts, 2110 and 222220112, that added together give a palindrome (222222222).

The spelling of 2110222220112 in words is "two trillion, one hundred ten billion, two hundred twenty-two million, two hundred twenty thousand, one hundred twelve".