2120102122122 has 12 divisors (see below), whose sum is σ = 4593554597970. Its totient is φ = 706700707368.

The previous prime is 2120102122091. The next prime is 2120102122157. The reversal of 2120102122122 is 2212212010212.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1065005424081 + 1055096698041 = 1031991^2 + 1027179^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 117783451229 = 2120102122122 / (2 + 1 + 2 + 0 + 1 + 0 + 2 + 1 + 2 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 2120102122095 and 2120102122104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58891725597 + ... + 58891725632.

Almost surely, 2^{2120102122122} is an apocalyptic number.

2120102122122 is an abundant number, since it is smaller than the sum of its proper divisors (2473452475848).

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

2120102122122 is a wasteful number, since it uses less digits than its factorization.

2120102122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117783451237 (or 117783451234 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2120102122122 its reverse (2212212010212), we get a palindrome (4332314132334).

The spelling of 2120102122122 in words is "two trillion, one hundred twenty billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty-two".