10022122200200 has 288 divisors, whose sum is σ = 27139070280000. Its totient is φ = 3429708480000.

The previous prime is 10022122200193. The next prime is 10022122200217. The reversal of 10022122200200 is 200222122001.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69357626 + ... + 69501974.

Almost surely, 2^{10022122200200} is an apocalyptic number.

10022122200200 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 10022122200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13569535140000).

10022122200200 is an abundant number, since it is smaller than the sum of its proper divisors (17116948079800).

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

10022122200200 is a wasteful number, since it uses less digits than its factorization.

10022122200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144557 (or 144537 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10022122200200 its reverse (200222122001), we get a palindrome (10222344322201).

The spelling of 10022122200200 in words is "ten trillion, twenty-two billion, one hundred twenty-two million, two hundred thousand, two hundred".