200100022122000 has 2560 divisors, whose sum is σ = 898856485502976. Its totient is φ = 36954537984000.

The previous prime is 200100022121969. The next prime is 200100022122001. The reversal of 200100022122000 is 221220001002.

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

It is not an unprimeable number, because it can be changed into a prime (200100022122001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 21555529359 + ... + 21555538641.

Almost surely, 2^{200100022122000} is an apocalyptic number.

200100022122000 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 200100022122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449428242751488).

200100022122000 is an abundant number, since it is smaller than the sum of its proper divisors (698756463380976).

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

200100022122000 is a wasteful number, since it uses less digits than its factorization.

200100022122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9474 (or 9458 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200100022122000 its reverse (221220001002), we get a palindrome (200321242123002).

The spelling of 200100022122000 in words is "two hundred trillion, one hundred billion, twenty-two million, one hundred twenty-two thousand".