12201111100100 has 72 divisors (see below), whose sum is σ = 28514460431688. Its totient is φ = 4504804070400.

The previous prime is 12201111100097. The next prime is 12201111100117. The reversal of 12201111100100 is 100111110221.

It can be written as a sum of positive squares in 12 ways, for example, as 2270343778756 + 9930767321344 = 1506766^2 + 3151312^2 .

It is a super-2 number, since 2×12201111100100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27491960 + ... + 27932240.

Almost surely, 2^{12201111100100} is an apocalyptic number.

12201111100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201111100100 is an abundant number, since it is smaller than the sum of its proper divisors (16313349331588).

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

12201111100100 is a wasteful number, since it uses less digits than its factorization.

12201111100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461625 (or 461618 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12201111100100 its reverse (100111110221), we get a palindrome (12301222210321).

The spelling of 12201111100100 in words is "twelve trillion, two hundred one billion, one hundred eleven million, one hundred thousand, one hundred".