120122201100210 has 192 divisors, whose sum is σ = 304749394744320. Its totient is φ = 30270950277120.

The previous prime is 120122201100193. The next prime is 120122201100211. The reversal of 120122201100210 is 12001102221021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120122201100210.

It is not an unprimeable number, because it can be changed into a prime (120122201100211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11584737906 + ... + 11584748274.

It is an arithmetic number, because the mean of its divisors is an integer number (1587236430960).

Almost surely, 2^{120122201100210} is an apocalyptic number.

120122201100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120122201100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152374697372160).

120122201100210 is an abundant number, since it is smaller than the sum of its proper divisors (184627193644110).

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

120122201100210 is a wasteful number, since it uses less digits than its factorization.

120122201100210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17233 (or 17190 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120122201100210 its reverse (12001102221021), we get a palindrome (132123303321231).

The spelling of 120122201100210 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred one million, one hundred thousand, two hundred ten".