10201002002202 has 128 divisors (see below), whose sum is σ = 23644607616000. Its totient is φ = 2899674086400.

The previous prime is 10201002002171. The next prime is 10201002002231. The reversal of 10201002002202 is 20220020010201.

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, 1069394749 + ... + 1069404287.

It is an arithmetic number, because the mean of its divisors is an integer number (184723497000).

Almost surely, 2^{10201002002202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201002002202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11822303808000).

10201002002202 is an abundant number, since it is smaller than the sum of its proper divisors (13443605613798).

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

10201002002202 is a wasteful number, since it uses less digits than its factorization.

10201002002202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12652.

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

Adding to 10201002002202 its reverse (20220020010201), we get a palindrome (30421022012403).

The spelling of 10201002002202 in words is "ten trillion, two hundred one billion, two million, two thousand, two hundred two".