11222101012200 has 192 divisors, whose sum is σ = 37466546362560. Its totient is φ = 2762216325120.

The previous prime is 11222101012139. The next prime is 11222101012207. The reversal of 11222101012200 is 221010122211.

It is a super-2 number, since 2×11222101012200² (a number of 27 digits) contains 22 as substring.

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 11222101012200.

It is not an unprimeable number, because it can be changed into a prime (11222101012207) 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, 258212872 + ... + 258256328.

It is an arithmetic number, because the mean of its divisors is an integer number (195138262305).

Almost surely, 2^{11222101012200} is an apocalyptic number.

11222101012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222101012200 is an abundant number, since it is smaller than the sum of its proper divisors (26244445350360).

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

11222101012200 is a wasteful number, since it uses less digits than its factorization.

11222101012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76596 (or 76587 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11222101012200 its reverse (221010122211), we get a palindrome (11443111134411).

The spelling of 11222101012200 in words is "eleven trillion, two hundred twenty-two billion, one hundred one million, twelve thousand, two hundred".