200201222121000 has 128 divisors (see below), whose sum is σ = 624740268821760. Its totient is φ = 53377380960000.

The previous prime is 200201222120993. The next prime is 200201222121007. The reversal of 200201222121000 is 121222102002.

200201222121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200201222120993) and next prime (200201222121007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (200201222121007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10666525 + ... + 22675475.

It is an arithmetic number, because the mean of its divisors is an integer number (4880783350170).

Almost surely, 2^{200201222121000} is an apocalyptic number.

200201222121000 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 200201222121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312370134410880).

200201222121000 is an abundant number, since it is smaller than the sum of its proper divisors (424539046700760).

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

200201222121000 is a wasteful number, since it uses less digits than its factorization.

200201222121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12014532 (or 12014518 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200201222121000 its reverse (121222102002), we get a palindrome (200322444223002).

The spelling of 200201222121000 in words is "two hundred trillion, two hundred one billion, two hundred twenty-two million, one hundred twenty-one thousand".