10112122220200 has 384 divisors, whose sum is σ = 32238456606720. Its totient is φ = 2847477427200.

The previous prime is 10112122220191. The next prime is 10112122220303. The reversal of 10112122220200 is 202222121101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8872059 + ... + 9946741.

It is an arithmetic number, because the mean of its divisors is an integer number (83954314080).

Almost surely, 2^{10112122220200} is an apocalyptic number.

10112122220200 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 10112122220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16119228303360).

10112122220200 is an abundant number, since it is smaller than the sum of its proper divisors (22126334386520).

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

10112122220200 is a wasteful number, since it uses less digits than its factorization.

10112122220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074777 (or 1074768 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10112122220200 its reverse (202222121101), we get a palindrome (10314344341301).

Subtracting from 10112122220200 its reverse (202222121101), we obtain a palindrome (9909900099099).

The spelling of 10112122220200 in words is "ten trillion, one hundred twelve billion, one hundred twenty-two million, two hundred twenty thousand, two hundred".