2112121021122 has 96 divisors (see below), whose sum is σ = 5425066588032. Its totient is φ = 603313121664.

The previous prime is 2112121021103. The next prime is 2112121021189. The reversal of 2112121021122 is 2211201212112.

2112121021122 is a `hidden beast` number, since 211 + 212 + 10 + 211 + 22 = 666.

It is a super-2 number, since 2×2112121021122² (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 = 2112121021095 and 2112121021104.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13985358 + ... + 14135574.

It is an arithmetic number, because the mean of its divisors is an integer number (56511110292).

Almost surely, 2^{2112121021122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112121021122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712533294016).

2112121021122 is an abundant number, since it is smaller than the sum of its proper divisors (3312945566910).

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

2112121021122 is a wasteful number, since it uses less digits than its factorization.

2112121021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154374 (or 154362 counting only the distinct ones).

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

Adding to 2112121021122 its reverse (2211201212112), we get a palindrome (4323322233234).

The spelling of 2112121021122 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, twenty-one thousand, one hundred twenty-two".