12000101002001 has 10 divisors (see below), whose sum is σ = 13999284845202. Its totient is φ = 10285800856800.

The previous prime is 12000101001989. The next prime is 12000101002027. The reversal of 12000101002001 is 10020010100021.

It can be written as a sum of positive squares in only one way, i.e., 11183680328401 + 816420673600 = 3344201^2 + 903560^2 .

It is not a de Polignac number, because 12000101002001 - 2¹⁰ = 12000101000977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12000101002001.

It is not an unprimeable number, because it can be changed into a prime (12000101002501) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2498977400 + ... + 2498982201.

Almost surely, 2^{12000101002001} is an apocalyptic number.

It is an amenable number.

12000101002001 is a deficient number, since it is larger than the sum of its proper divisors (1999183843201).

12000101002001 is an frugal number, since it uses more digits than its factorization.

12000101002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997959629 (or 4997959608 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12000101002001 its reverse (10020010100021), we get a palindrome (22020111102022).

The spelling of 12000101002001 in words is "twelve trillion, one hundred one million, two thousand, one".