10111210221200 has 240 divisors, whose sum is σ = 26846551353600. Its totient is φ = 3628836556800.

The previous prime is 10111210221199. The next prime is 10111210221221. The reversal of 10111210221200 is 212201211101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1332347006 + ... + 1332354594.

It is an arithmetic number, because the mean of its divisors is an integer number (111860630640).

Almost surely, 2^{10111210221200} is an apocalyptic number.

10111210221200 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 10111210221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13423275676800).

10111210221200 is an abundant number, since it is smaller than the sum of its proper divisors (16735341132400).

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

10111210221200 is a wasteful number, since it uses less digits than its factorization.

10111210221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11530 (or 11519 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10111210221200 its reverse (212201211101), we get a palindrome (10323411432301).

The spelling of 10111210221200 in words is "ten trillion, one hundred eleven billion, two hundred ten million, two hundred twenty-one thousand, two hundred".