12001132222101 has 24 divisors (see below), whose sum is σ = 18911351234880. Its totient is φ = 7273230307200.

The previous prime is 12001132222091. The next prime is 12001132222111. The reversal of 12001132222101 is 10122223110021.

12001132222101 is a `hidden beast` number, since 120 + 0 + 1 + 1 + 322 + 221 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (12001132222091) and next prime (12001132222111).

It is a de Polignac number, because none of the positive numbers 2^k-12001132222101 is a prime.

It is a super-2 number, since 2×12001132222101² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001132222111) by changing a digit.

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, 2477640 + ... + 5490078.

It is an arithmetic number, because the mean of its divisors is an integer number (787972968120).

Almost surely, 2^{12001132222101} is an apocalyptic number.

12001132222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12001132222101 is a deficient number, since it is larger than the sum of its proper divisors (6910219012779).

12001132222101 is a wasteful number, since it uses less digits than its factorization.

12001132222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052697 (or 3052694 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12001132222101 its reverse (10122223110021), we get a palindrome (22123355332122).

The spelling of 12001132222101 in words is "twelve trillion, one billion, one hundred thirty-two million, two hundred twenty-two thousand, one hundred one".