10022010200202 has 256 divisors, whose sum is σ = 27884277485568. Its totient is φ = 2317241364480.

The previous prime is 10022010200201. The next prime is 10022010200219. The reversal of 10022010200202 is 20200201022001.

It is not an unprimeable number, because it can be changed into a prime (10022010200201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24911533 + ... + 25310639.

It is an arithmetic number, because the mean of its divisors is an integer number (108922958928).

Almost surely, 2^{10022010200202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022010200202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942138742784).

10022010200202 is an abundant number, since it is smaller than the sum of its proper divisors (17862267285366).

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

10022010200202 is a wasteful number, since it uses less digits than its factorization.

10022010200202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399293.

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

Adding to 10022010200202 its reverse (20200201022001), we get a palindrome (30222211222203).

The spelling of 10022010200202 in words is "ten trillion, twenty-two billion, ten million, two hundred thousand, two hundred two".