210001122200100 has 576 divisors, whose sum is σ = 783749036851200. Its totient is φ = 42126728448000.

The previous prime is 210001122200053. The next prime is 210001122200141. The reversal of 210001122200100 is 1002221100012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7897437805 + ... + 7897464395.

It is an arithmetic number, because the mean of its divisors is an integer number (1360675411200).

Almost surely, 2^{210001122200100} is an apocalyptic number.

210001122200100 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 210001122200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391874518425600).

210001122200100 is an abundant number, since it is smaller than the sum of its proper divisors (573747914651100).

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

210001122200100 is a wasteful number, since it uses less digits than its factorization.

210001122200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38444 (or 38437 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210001122200100 its reverse (1002221100012), we get a palindrome (211003343300112).

The spelling of 210001122200100 in words is "two hundred ten trillion, one billion, one hundred twenty-two million, two hundred thousand, one hundred".