12001010100001 has 8 divisors (see below), whose sum is σ = 12925707655784. Its totient is φ = 11076532963200.

The previous prime is 12001010099999. The next prime is 12001010100071. The reversal of 12001010100001 is 10000101010021.

It can be written as a sum of positive squares in 4 ways, for example, as 208132126225 + 11792877973776 = 456215^2 + 3434076^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12001010100001 - 2¹ = 12001010099999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12001010100071) 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 7 ways as a sum of consecutive naturals, for example, 54991650 + ... + 55209451.

It is an arithmetic number, because the mean of its divisors is an integer number (1615713456973).

Almost surely, 2^{12001010100001} is an apocalyptic number.

It is an amenable number.

12001010100001 is a deficient number, since it is larger than the sum of its proper divisors (924697555783).

12001010100001 is a wasteful number, since it uses less digits than its factorization.

12001010100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110209491.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 12001010100001 its reverse (10000101010021), we get a palindrome (22001111110022).

The spelling of 12001010100001 in words is "twelve trillion, one billion, ten million, one hundred thousand, one".