10011102221200 has 60 divisors (see below), whose sum is σ = 24073679328148. Its totient is φ = 4000776998400.

The previous prime is 10011102221171. The next prime is 10011102221249. The reversal of 10011102221200 is 212220111001.

It can be written as a sum of positive squares in 6 ways, for example, as 535274496 + 10010566946704 = 23136^2 + 3163948^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11011911 + ... + 11886310.

Almost surely, 2^{10011102221200} is an apocalyptic number.

10011102221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011102221200 is an abundant number, since it is smaller than the sum of its proper divisors (14062577106948).

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

10011102221200 is a wasteful number, since it uses less digits than its factorization.

10011102221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22899332 (or 22899321 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10011102221200 its reverse (212220111001), we get a palindrome (10223322332201).

The spelling of 10011102221200 in words is "ten trillion, eleven billion, one hundred two million, two hundred twenty-one thousand, two hundred".