10011222211200 has 192 divisors, whose sum is σ = 37685101005120. Its totient is φ = 2288279347200.

The previous prime is 10011222211171. The next prime is 10011222211217. The reversal of 10011222211200 is 211222211001.

It is a tau number, because it is divible by the number of its divisors (192).

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 10011222211200.

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 23 ways as a sum of consecutive naturals, for example, 74421061 + ... + 74555460.

It is an arithmetic number, because the mean of its divisors is an integer number (196276567735).

Almost surely, 2^{10011222211200} is an apocalyptic number.

10011222211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011222211200 is an abundant number, since it is smaller than the sum of its proper divisors (27673878793920).

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

10011222211200 is a wasteful number, since it uses less digits than its factorization.

10011222211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148976555 (or 148976538 counting only the distinct ones).

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

Adding to 10011222211200 its reverse (211222211001), we get a palindrome (10222444422201).

The spelling of 10011222211200 in words is "ten trillion, eleven billion, two hundred twenty-two million, two hundred eleven thousand, two hundred".