200210222212100 has 144 divisors (see below), whose sum is σ = 440511234507792. Its totient is φ = 78975877693440.

The previous prime is 200210222212069. The next prime is 200210222212111. The reversal of 200210222212100 is 1212222012002.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 51373686991936 + 148836535220164 = 7167544^2 + 12199858^2 .

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, 14877768572 + ... + 14877782028.

It is an arithmetic number, because the mean of its divisors is an integer number (3059105795193).

Almost surely, 2^{200210222212100} is an apocalyptic number.

200210222212100 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 200210222212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220255617253896).

200210222212100 is an abundant number, since it is smaller than the sum of its proper divisors (240301012295692).

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

200210222212100 is a wasteful number, since it uses less digits than its factorization.

200210222212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20682 (or 20675 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 200210222212100 its reverse (1212222012002), we get a palindrome (201422444224102).

The spelling of 200210222212100 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-two million, two hundred twelve thousand, one hundred".