2100212122122 has 12 divisors (see below), whose sum is σ = 4550459597970. Its totient is φ = 700070707368.

The previous prime is 2100212122093. The next prime is 2100212122133. The reversal of 2100212122122 is 2212212120012.

It is a happy number.

2100212122122 is a `hidden beast` number, since 210 + 0 + 212 + 1 + 221 + 22 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2000784789081 + 99427333041 = 1414491^2 + 315321^2 .

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: 116678451229 = 2100212122122 / (2 + 1 + 0 + 0 + 2 + 1 + 2 + 1 + 2 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 2100212122095 and 2100212122104.

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, 58339225597 + ... + 58339225632.

Almost surely, 2^{2100212122122} is an apocalyptic number.

2100212122122 is an abundant number, since it is smaller than the sum of its proper divisors (2450247475848).

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

2100212122122 is a wasteful number, since it uses less digits than its factorization.

2100212122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116678451237 (or 116678451234 counting only the distinct ones).

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

Adding to 2100212122122 its reverse (2212212120012), we get a palindrome (4312424242134).

The spelling of 2100212122122 in words is "two trillion, one hundred billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty-two".