10212202002200 has 96 divisors (see below), whose sum is σ = 25906913123760. Its totient is φ = 3712803225600.

The previous prime is 10212202002151. The next prime is 10212202002253. The reversal of 10212202002200 is 220020221201.

It is a congruent number.

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, 10886192 + ... + 11787008.

Almost surely, 2^{10212202002200} is an apocalyptic number.

10212202002200 is a gapful number since it is divisible by the number (10) 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 10212202002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12953456561880).

10212202002200 is an abundant number, since it is smaller than the sum of its proper divisors (15694711121560).

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

10212202002200 is a wasteful number, since it uses less digits than its factorization.

10212202002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905997 (or 905988 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10212202002200 its reverse (220020221201), we get a palindrome (10432222223401).

The spelling of 10212202002200 in words is "ten trillion, two hundred twelve billion, two hundred two million, two thousand, two hundred".