201221201102202 has 96 divisors (see below), whose sum is σ = 464213658776400. Its totient is φ = 62775204102144.

The previous prime is 201221201102189. The next prime is 201221201102227. The reversal of 201221201102202 is 202201102122102.

It is a happy number.

201221201102202 is a `hidden beast` number, since 20 + 1 + 221 + 201 + 1 + 0 + 220 + 2 = 666.

201221201102202 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 173801745525321 + 27419455576881 = 13183389^2 + 5236359^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 37137874 + ... + 42209762.

Almost surely, 2^{201221201102202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201221201102202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232106829388200).

201221201102202 is an abundant number, since it is smaller than the sum of its proper divisors (262992457674198).

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

201221201102202 is a wasteful number, since it uses less digits than its factorization.

201221201102202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072640 (or 5072637 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201221201102202 its reverse (202201102122102), we get a palindrome (403422303224304).

The spelling of 201221201102202 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred one million, one hundred two thousand, two hundred two".