10202001002200 has 192 divisors, whose sum is σ = 27365258511360. Its totient is φ = 3464767595520.

The previous prime is 10202001002189. The next prime is 10202001002227. The reversal of 10202001002200 is 220010020201.

10202001002200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 88745959 + ... + 88860841.

It is an arithmetic number, because the mean of its divisors is an integer number (142527388080).

Almost surely, 2^{10202001002200} is an apocalyptic number.

10202001002200 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 10202001002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13682629255680).

10202001002200 is an abundant number, since it is smaller than the sum of its proper divisors (17163257509160).

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

10202001002200 is a wasteful number, since it uses less digits than its factorization.

10202001002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115506 (or 115497 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10202001002200 its reverse (220010020201), we get a palindrome (10422011022401).

The spelling of 10202001002200 in words is "ten trillion, two hundred two billion, one million, two thousand, two hundred".