221112101101200 has 60 divisors (see below), whose sum is σ = 708295763864688. Its totient is φ = 58963226960000.

The previous prime is 221112101101193. The next prime is 221112101101253. The reversal of 221112101101200 is 2101101211122.

It is a happy number.

221112101101200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×221112101101200² (a number of 29 digits) contains 22 as substring.

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 221112101101200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92130040926 + ... + 92130043325.

Almost surely, 2^{221112101101200} is an apocalyptic number.

221112101101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112101101200 is an abundant number, since it is smaller than the sum of its proper divisors (487183662763488).

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

221112101101200 is a wasteful number, since it uses less digits than its factorization.

221112101101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184260084272 (or 184260084261 counting only the distinct ones).

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

Adding to 221112101101200 its reverse (2101101211122), we get a palindrome (223213202312322).

The spelling of 221112101101200 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred one million, one hundred one thousand, two hundred".