10111112221200 has 240 divisors, whose sum is σ = 33301721386752. Its totient is φ = 2620823040000.

The previous prime is 10111112221187. The next prime is 10111112221201. The reversal of 10111112221200 is 212221111101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 10111112221200.

It is not an unprimeable number, because it can be changed into a prime (10111112221201) 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, 12954030 + ... + 13712370.

Almost surely, 2^{10111112221200} is an apocalyptic number.

10111112221200 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 10111112221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16650860693376).

10111112221200 is an abundant number, since it is smaller than the sum of its proper divisors (23190609165552).

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

10111112221200 is a wasteful number, since it uses less digits than its factorization.

10111112221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758674 (or 758663 counting only the distinct ones).

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

Adding to 10111112221200 its reverse (212221111101), we get a palindrome (10323333332301).

The spelling of 10111112221200 in words is "ten trillion, one hundred eleven billion, one hundred twelve million, two hundred twenty-one thousand, two hundred".