12001221101001 has 16 divisors (see below), whose sum is σ = 17557225202880. Its totient is φ = 7231424166720.

The previous prime is 12001221100951. The next prime is 12001221101011. The reversal of 12001221101001 is 10010112210021.

It is not a de Polignac number, because 12001221101001 - 2¹⁴ = 12001221084617 is a prime.

It is a super-2 number, since 2×12001221101001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12001221101011) 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, 1051073386 + ... + 1051084803.

It is an arithmetic number, because the mean of its divisors is an integer number (1097326575180).

Almost surely, 2^{12001221101001} is an apocalyptic number.

12001221101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12001221101001 is a deficient number, since it is larger than the sum of its proper divisors (5556004101879).

12001221101001 is a wasteful number, since it uses less digits than its factorization.

12001221101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102158376.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12001221101001 its reverse (10010112210021), we get a palindrome (22011333311022).

The spelling of 12001221101001 in words is "twelve trillion, one billion, two hundred twenty-one million, one hundred one thousand, one".