12201112101100 has 72 divisors (see below), whose sum is σ = 28718190789680. Its totient is φ = 4472615681280.

The previous prime is 12201112101091. The next prime is 12201112101119. The reversal of 12201112101100 is 110121110221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33579987 + ... + 33941386.

Almost surely, 2^{12201112101100} is an apocalyptic number.

12201112101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201112101100 is an abundant number, since it is smaller than the sum of its proper divisors (16517078688580).

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

12201112101100 is a wasteful number, since it uses less digits than its factorization.

12201112101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67521539 (or 67521532 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12201112101100 its reverse (110121110221), we get a palindrome (12311233211321).

The spelling of 12201112101100 in words is "twelve trillion, two hundred one billion, one hundred twelve million, one hundred one thousand, one hundred".