10002122200 has 192 divisors, whose sum is σ = 27368248320. Its totient is φ = 3328128000.

The previous prime is 10002122197. The next prime is 10002122209. The reversal of 10002122200 is 222120001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002122209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15555079 + ... + 15555721.

It is an arithmetic number, because the mean of its divisors is an integer number (142542960).

Almost surely, 2^10002122200 is an apocalyptic number.

10002122200 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 10002122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13684124160).

10002122200 is an abundant number, since it is smaller than the sum of its proper divisors (17366126120).

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

10002122200 is a wasteful number, since it uses less digits than its factorization.

10002122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 969 counting only the distinct ones).

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

Adding to 10002122200 its reverse (222120001), we get a palindrome (10224242201).

It can be divided in two parts, 100021 and 22200, that added together give a palindrome (122221).

The spelling of 10002122200 in words is "ten billion, two million, one hundred twenty-two thousand, two hundred".