2121120121122 has 80 divisors (see below), whose sum is σ = 4846042603512. Its totient is φ = 693254350080.

The previous prime is 2121120121111. The next prime is 2121120121129. The reversal of 2121120121122 is 2211210211212.

2121120121122 is a `hidden beast` number, since 21 + 211 + 201 + 211 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 887267918601 + 1233852202521 = 941949^2 + 1110789^2 .

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 = 2121120121095 and 2121120121104.

It is not an unprimeable number, because it can be changed into a prime (2121120121129) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2794038 + ... + 3471150.

Almost surely, 2^{2121120121122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121120121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423021301756).

2121120121122 is an abundant number, since it is smaller than the sum of its proper divisors (2724922482390).

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

2121120121122 is a wasteful number, since it uses less digits than its factorization.

2121120121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677505 (or 677496 counting only the distinct ones).

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

Adding to 2121120121122 its reverse (2211210211212), we get a palindrome (4332330332334).

The spelling of 2121120121122 in words is "two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty-two".