201202122221000 has 96 divisors (see below), whose sum is σ = 479863844951400. Its totient is φ = 78962341203200.

The previous prime is 201202122220973. The next prime is 201202122221039. The reversal of 201202122221000 is 122221202102.

It is a happy number.

201202122221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 205776547876 + 200996345673124 = 453626^2 + 14177318^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 201202122221000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33004835 + ... + 38622834.

Almost surely, 2^{201202122221000} is an apocalyptic number.

201202122221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201202122221000 is an abundant number, since it is smaller than the sum of its proper divisors (278661722730400).

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

201202122221000 is an equidigital number, since it uses as much as digits as its factorization.

201202122221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71627796 (or 71627729 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 201202122221000 its reverse (122221202102), we get a palindrome (201324343423102).

The spelling of 201202122221000 in words is "two hundred one trillion, two hundred two billion, one hundred twenty-two million, two hundred twenty-one thousand".