210122222122120 has 256 divisors, whose sum is σ = 609994896422400. Its totient is φ = 63209817538560.

The previous prime is 210122222122093. The next prime is 210122222122151. The reversal of 210122222122120 is 21221222221012.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 210122222122091 and 210122222122100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231153142 + ... + 232060378.

It is an arithmetic number, because the mean of its divisors is an integer number (2382792564150).

Almost surely, 2^{210122222122120} is an apocalyptic number.

210122222122120 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 210122222122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304997448211200).

210122222122120 is an abundant number, since it is smaller than the sum of its proper divisors (399872674300280).

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

210122222122120 is a wasteful number, since it uses less digits than its factorization.

210122222122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909888 (or 909884 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 210122222122120 its reverse (21221222221012), we get a palindrome (231343444343132).

The spelling of 210122222122120 in words is "two hundred ten trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".