10201002200 has 96 divisors (see below), whose sum is σ = 24274071360. Its totient is φ = 3984998400.

The previous prime is 10201002191. The next prime is 10201002209. The reversal of 10201002200 is 220010201.

It is an interprime number because it is at equal distance from previous prime (10201002191) and next prime (10201002209).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201002209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6024554 + ... + 6026246.

It is an arithmetic number, because the mean of its divisors is an integer number (252854910).

Almost surely, 2^10201002200 is an apocalyptic number.

10201002200 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 10201002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12137035680).

10201002200 is an abundant number, since it is smaller than the sum of its proper divisors (14073069160).

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

10201002200 is a wasteful number, since it uses less digits than its factorization.

10201002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10201002200 its reverse (220010201), we get a palindrome (10421012401).

The spelling of 10201002200 in words is "ten billion, two hundred one million, two thousand, two hundred".