12201101000011 has 16 divisors (see below), whose sum is σ = 15212239591680. Its totient is φ = 9507053112480.

The previous prime is 12201100999957. The next prime is 12201101000017. The reversal of 12201101000011 is 11000010110221.

12201101000011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

12201101000011 is a nontrivial binomial coefficient, being equal to C(4939859, 2).

It is not a de Polignac number, because 12201101000011 - 2¹¹ = 12201100997963 is a prime.

It is a super-2 number, since 2×12201101000011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12201101000017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 4939858.

It is an arithmetic number, because the mean of its divisors is an integer number (950764974480).

Almost surely, 2^{12201101000011} is an apocalyptic number.

12201101000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12201101000011 is the 4939858-th triangular number.

12201101000011 is the 1646620-th centered nonagonal number.

12201101000011 is a deficient number, since it is larger than the sum of its proper divisors (3011138591669).

12201101000011 is a wasteful number, since it uses less digits than its factorization.

12201101000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971954.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12201101000011 its reverse (11000010110221), we get a palindrome (23201111110232).

The spelling of 12201101000011 in words is "twelve trillion, two hundred one billion, one hundred one million, eleven", and thus it is an aban number.