2112122122110 has 768 divisors, whose sum is σ = 7577854083072. Its totient is φ = 393945292800.

The previous prime is 2112122122067. The next prime is 2112122122127. The reversal of 2112122122110 is 112212212112.

2112122122110 is a `hidden beast` number, since 211 + 2 + 1 + 221 + 221 + 10 = 666.

It is a super-2 number, since 2×2112122122110² (a number of 25 digits) contains 22 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 383 ways as a sum of consecutive naturals, for example, 1414682524 + ... + 1414684016.

It is an arithmetic number, because the mean of its divisors is an integer number (9866997504).

Almost surely, 2^{2112122122110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112122122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788927041536).

2112122122110 is an abundant number, since it is smaller than the sum of its proper divisors (5465731960962).

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

2112122122110 is a wasteful number, since it uses less digits than its factorization.

2112122122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2112122122110 its reverse (112212212112), we get a palindrome (2224334334222).

The spelling of 2112122122110 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred ten".