2121022111122 has 96 divisors (see below), whose sum is σ = 4814450432064. Its totient is φ = 699787512000.

The previous prime is 2121022111093. The next prime is 2121022111139. The reversal of 2121022111122 is 2211112201212.

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 = 2121022111095 and 2121022111104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250677972 + ... + 250686432.

It is an arithmetic number, because the mean of its divisors is an integer number (50150525334).

Almost surely, 2^{2121022111122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121022111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407225216032).

2121022111122 is an abundant number, since it is smaller than the sum of its proper divisors (2693428320942).

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

2121022111122 is a wasteful number, since it uses less digits than its factorization.

2121022111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13686 (or 13674 counting only the distinct ones).

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

Adding to 2121022111122 its reverse (2211112201212), we get a palindrome (4332134312334).

The spelling of 2121022111122 in words is "two trillion, one hundred twenty-one billion, twenty-two million, one hundred eleven thousand, one hundred twenty-two".