10111221121200 has 120 divisors (see below), whose sum is σ = 32395299129168. Its totient is φ = 2695852170240.

The previous prime is 10111221121193. The next prime is 10111221121217. The reversal of 10111221121200 is 212112211101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 10111221121200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6123474 + ... + 7597326.

Almost surely, 2^{10111221121200} is an apocalyptic number.

10111221121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111221121200 is an abundant number, since it is smaller than the sum of its proper divisors (22284078007968).

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

10111221121200 is a wasteful number, since it uses less digits than its factorization.

10111221121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479591 (or 1479580 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10111221121200 its reverse (212112211101), we get a palindrome (10323333332301).

The spelling of 10111221121200 in words is "ten trillion, one hundred eleven billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred".