200122202100000 has 288 divisors, whose sum is σ = 671878968868800. Its totient is φ = 52124849280000.

The previous prime is 200122202099983. The next prime is 200122202100011. The reversal of 200122202100000 is 1202221002.

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 47 ways as a sum of consecutive naturals, for example, 5143326 + ... + 20656674.

It is an arithmetic number, because the mean of its divisors is an integer number (2332913086350).

Almost surely, 2^{200122202100000} is an apocalyptic number.

200122202100000 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 200122202100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335939484434400).

200122202100000 is an abundant number, since it is smaller than the sum of its proper divisors (471756766768800).

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

200122202100000 is an equidigital number, since it uses as much as digits as its factorization.

200122202100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15513430 (or 15513402 counting only the distinct ones).

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

Adding to 200122202100000 its reverse (1202221002), we get a palindrome (200123404321002).

The spelling of 200122202100000 in words is "two hundred trillion, one hundred twenty-two billion, two hundred two million, one hundred thousand".