210122022102120 has 96 divisors (see below), whose sum is σ = 686843951063400. Its totient is φ = 55708651700736.

The previous prime is 210122022102119. The next prime is 210122022102197. The reversal of 210122022102120 is 21201220221012.

It is a happy number.

210122022102120 is a `hidden beast` number, since 2 + 10 + 1 + 220 + 221 + 0 + 212 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 143936215064964 + 66185807037156 = 11997342^2 + 8135466^2 .

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 = 210122022102093 and 210122022102102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1686851835 + ... + 1686976394.

Almost surely, 2^{210122022102120} is an apocalyptic number.

210122022102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210122022102120 is an abundant number, since it is smaller than the sum of its proper divisors (476721928961280).

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

210122022102120 is a wasteful number, since it uses less digits than its factorization.

210122022102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373828419 (or 3373828412 counting only the distinct ones).

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

Adding to 210122022102120 its reverse (21201220221012), we get a palindrome (231323242323132).

The spelling of 210122022102120 in words is "two hundred ten trillion, one hundred twenty-two billion, twenty-two million, one hundred two thousand, one hundred twenty".