200100221112120 has 512 divisors, whose sum is σ = 723914060544000. Its totient is φ = 44204430606336.

The previous prime is 200100221112119. The next prime is 200100221112149. The reversal of 200100221112120 is 21211122001002.

It is a super-2 number, since 2×200100221112120² (a number of 29 digits) contains 22 as substring.

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 200100221112120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 145474632 + ... + 146843688.

It is an arithmetic number, because the mean of its divisors is an integer number (1413894649500).

Almost surely, 2^{200100221112120} is an apocalyptic number.

200100221112120 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 200100221112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361957030272000).

200100221112120 is an abundant number, since it is smaller than the sum of its proper divisors (523813839431880).

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

200100221112120 is a wasteful number, since it uses less digits than its factorization.

200100221112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369212 (or 1369194 counting only the distinct ones).

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

Adding to 200100221112120 its reverse (21211122001002), we get a palindrome (221311343113122).

The spelling of 200100221112120 in words is "two hundred trillion, one hundred billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty".