200211022100100 has 288 divisors, whose sum is σ = 636297693091200. Its totient is φ = 48201340928000.

The previous prime is 200211022100017. The next prime is 200211022100129. The reversal of 200211022100100 is 1001220112002.

It is a super-2 number, since 2×200211022100100² (a number of 29 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 2881818964 + ... + 2881888436.

It is an arithmetic number, because the mean of its divisors is an integer number (2209366989900).

Almost surely, 2^{200211022100100} is an apocalyptic number.

200211022100100 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 200211022100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318148846545600).

200211022100100 is an abundant number, since it is smaller than the sum of its proper divisors (436086670991100).

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

200211022100100 is a wasteful number, since it uses less digits than its factorization.

200211022100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75511 (or 75504 counting only the distinct ones).

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

Adding to 200211022100100 its reverse (1001220112002), we get a palindrome (201212242212102).

The spelling of 200211022100100 in words is "two hundred trillion, two hundred eleven billion, twenty-two million, one hundred thousand, one hundred".