200210222201000 has 256 divisors, whose sum is σ = 513838157414400. Its totient is φ = 72411707808000.

The previous prime is 200210222200973. The next prime is 200210222201023. The reversal of 200210222201000 is 102222012002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2754682661 + ... + 2754755339.

It is an arithmetic number, because the mean of its divisors is an integer number (2007180302400).

Almost surely, 2^{200210222201000} is an apocalyptic number.

200210222201000 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 200210222201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256919078707200).

200210222201000 is an abundant number, since it is smaller than the sum of its proper divisors (313627935213400).

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

200210222201000 is a wasteful number, since it uses less digits than its factorization.

200210222201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74057 (or 74043 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200210222201000 its reverse (102222012002), we get a palindrome (200312444213002).

The spelling of 200210222201000 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-two million, two hundred one thousand".