12001010012001 has 6 divisors (see below), whose sum is σ = 17334792239570. Its totient is φ = 8000673341328.

The previous prime is 12001010011979. The next prime is 12001010012003. The reversal of 12001010012001 is 10021001010021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11686490939601 + 314519072400 = 3418551^2 + 560820^2 .

It is not a de Polignac number, because 12001010012001 - 2¹⁴ = 12001009995617 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: 1333445556889 = 12001010012001 / (1 + 2 + 0 + 0 + 1 + 0 + 1 + 0 + 0 + 1 + 2 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12001010012003) 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 5 ways as a sum of consecutive naturals, for example, 666722778436 + ... + 666722778453.

Almost surely, 2^{12001010012001} is an apocalyptic number.

It is an amenable number.

12001010012001 is a deficient number, since it is larger than the sum of its proper divisors (5333782227569).

12001010012001 is a wasteful number, since it uses less digits than its factorization.

12001010012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333445556895 (or 1333445556892 counting only the distinct ones).

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

Adding to 12001010012001 its reverse (10021001010021), we get a palindrome (22022011022022).

The spelling of 12001010012001 in words is "twelve trillion, one billion, ten million, twelve thousand, one".