12201000011001 has 6 divisors (see below), whose sum is σ = 17623666682570. Its totient is φ = 8134000007328.

The previous prime is 12201000010993. The next prime is 12201000011033. The reversal of 12201000011001 is 10011000010221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8817478891776 + 3383521119225 = 2969424^2 + 1839435^2 .

It is not a de Polignac number, because 12201000011001 - 2³ = 12201000010993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1355666667889 = 12201000011001 / (1 + 2 + 2 + 0 + 1 + 0 + 0 + 0 + 0 + 1 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12201000011801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 677833333936 + ... + 677833333953.

Almost surely, 2^{12201000011001} is an apocalyptic number.

It is an amenable number.

12201000011001 is a deficient number, since it is larger than the sum of its proper divisors (5422666671569).

12201000011001 is a wasteful number, since it uses less digits than its factorization.

12201000011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355666667895 (or 1355666667892 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12201000011001 its reverse (10011000010221), we get a palindrome (22212000021222).

The spelling of 12201000011001 in words is "twelve trillion, two hundred one billion, eleven thousand, one".