201202220010000 has 400 divisors, whose sum is σ = 709490621176128. Its totient is φ = 48711801600000.

The previous prime is 201202220009981. The next prime is 201202220010091. The reversal of 201202220010000 is 10022202102.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 249407290 + ... + 250212710.

Almost surely, 2^{201202220010000} is an apocalyptic number.

201202220010000 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 201202220010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354745310588064).

201202220010000 is an abundant number, since it is smaller than the sum of its proper divisors (508288401166128).

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

201202220010000 is a wasteful number, since it uses less digits than its factorization.

201202220010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806220 (or 806199 counting only the distinct ones).

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

Adding to 201202220010000 its reverse (10022202102), we get a palindrome (201212242212102).

It can be divided in two parts, 2012022 and 20010000, that added together give a palindrome (22022022).

The spelling of 201202220010000 in words is "two hundred one trillion, two hundred two billion, two hundred twenty million, ten thousand".