210010122122121 has 12 divisors (see below), whose sum is σ = 304427484266100. Its totient is φ = 139508503424640.

The previous prime is 210010122122111. The next prime is 210010122122149. The reversal of 210010122122121 is 121221221010012.

210010122122121 is a `hidden beast` number, since 2 + 100 + 101 + 221 + 221 + 21 = 666.

210010122122121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 174545846096400 + 35464276025721 = 13211580^2 + 5955189^2 .

It is not a de Polignac number, because 210010122122121 - 2¹⁵ = 210010122089353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210010122122094 and 210010122122103.

It is not an unprimeable number, because it can be changed into a prime (210010122122111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41520385396 + ... + 41520390453.

It is an arithmetic number, because the mean of its divisors is an integer number (25368957022175).

Almost surely, 2^{210010122122121} is an apocalyptic number.

It is an amenable number.

210010122122121 is a deficient number, since it is larger than the sum of its proper divisors (94417362143979).

210010122122121 is a wasteful number, since it uses less digits than its factorization.

210010122122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83040776136 (or 83040776133 counting only the distinct ones).

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

Adding to 210010122122121 its reverse (121221221010012), we get a palindrome (331231343132133).

The spelling of 210010122122121 in words is "two hundred ten trillion, ten billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".