10020221002200 has 384 divisors, whose sum is σ = 33006604942080. Its totient is φ = 2511361843200.

The previous prime is 10020221002199. The next prime is 10020221002201. The reversal of 10020221002200 is 220012202001.

It is an interprime number because it is at equal distance from previous prime (10020221002199) and next prime (10020221002201).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020221002201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77154519 + ... + 77284281.

It is an arithmetic number, because the mean of its divisors is an integer number (85954700370).

Almost surely, 2^{10020221002200} is an apocalyptic number.

10020221002200 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 10020221002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16503302471040).

10020221002200 is an abundant number, since it is smaller than the sum of its proper divisors (22986383939880).

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

10020221002200 is a wasteful number, since it uses less digits than its factorization.

10020221002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129939 (or 129930 counting only the distinct ones).

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

Adding to 10020221002200 its reverse (220012202001), we get a palindrome (10240233204201).

The spelling of 10020221002200 in words is "ten trillion, twenty billion, two hundred twenty-one million, two thousand, two hundred".