2110121122122 has 48 divisors (see below), whose sum is σ = 5137686223488. Its totient is φ = 621038990880.

The previous prime is 2110121122111. The next prime is 2110121122127. The reversal of 2110121122122 is 2212211210112.

2110121122122 is a `hidden beast` number, since 211 + 0 + 1 + 211 + 221 + 22 = 666.

It is a super-2 number, since 2×2110121122122² (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 junction number, because it is equal to n+sod(n) for n = 2110121122095 and 2110121122104.

It is not an unprimeable number, because it can be changed into a prime (2110121122127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 196029654 + ... + 196040417.

It is an arithmetic number, because the mean of its divisors is an integer number (107035129656).

Almost surely, 2^{2110121122122} is an apocalyptic number.

2110121122122 is an abundant number, since it is smaller than the sum of its proper divisors (3027565101366).

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

2110121122122 is a wasteful number, since it uses less digits than its factorization.

2110121122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392070115 (or 392070112 counting only the distinct ones).

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

Adding to 2110121122122 its reverse (2212211210112), we get a palindrome (4322332332234).

The spelling of 2110121122122 in words is "two trillion, one hundred ten billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-two".