210022010122120 has 192 divisors, whose sum is σ = 574418832249600. Its totient is φ = 68778518054400.

The previous prime is 210022010122049. The next prime is 210022010122147. The reversal of 210022010122120 is 21221010220012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 210022010122094 and 210022010122103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28278061 + ... + 34924099.

It is an arithmetic number, because the mean of its divisors is an integer number (2991764751300).

Almost surely, 2^{210022010122120} is an apocalyptic number.

210022010122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210022010122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287209416124800).

210022010122120 is an abundant number, since it is smaller than the sum of its proper divisors (364396822127480).

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

210022010122120 is a wasteful number, since it uses less digits than its factorization.

210022010122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646788 (or 6646777 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210022010122120 its reverse (21221010220012), we get a palindrome (231243020342132).

The spelling of 210022010122120 in words is "two hundred ten trillion, twenty-two billion, ten million, one hundred twenty-two thousand, one hundred twenty".