210010122211120 has 240 divisors, whose sum is σ = 613427484628224. Its totient is φ = 65451395750400.

The previous prime is 210010122211063. The next prime is 210010122211133. The reversal of 210010122211120 is 21112221010012.

It is a super-2 number, since 2×210010122211120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 210010122211094 and 210010122211103.

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, 729699087 + ... + 729986833.

Almost surely, 2^{210010122211120} is an apocalyptic number.

210010122211120 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 210010122211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306713742314112).

210010122211120 is an abundant number, since it is smaller than the sum of its proper divisors (403417362417104).

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

210010122211120 is a wasteful number, since it uses less digits than its factorization.

210010122211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298560 (or 298543 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210010122211120 its reverse (21112221010012), we get a palindrome (231122343221132).

The spelling of 210010122211120 in words is "two hundred ten trillion, ten billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty".