10001222122200 has 192 divisors, whose sum is σ = 31942198380960. Its totient is φ = 2586724024320.

The previous prime is 10001222122117. The next prime is 10001222122219. The reversal of 10001222122200 is 222122210001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10001222122200.

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, 6326824 + ... + 7747976.

Almost surely, 2^{10001222122200} is an apocalyptic number.

10001222122200 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 10001222122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15971099190480).

10001222122200 is an abundant number, since it is smaller than the sum of its proper divisors (21940976258760).

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

10001222122200 is a wasteful number, since it uses less digits than its factorization.

10001222122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421526 (or 1421517 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10001222122200 its reverse (222122210001), we get a palindrome (10223344332201).

The spelling of 10001222122200 in words is "ten trillion, one billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred".