12000200102001 has 6 divisors (see below), whose sum is σ = 17333622369570. Its totient is φ = 8000133401328.

The previous prime is 12000200101963. The next prime is 12000200102039. The reversal of 12000200102001 is 10020100200021.

It is an interprime number because it is at equal distance from previous prime (12000200101963) and next prime (12000200102039).

It can be written as a sum of positive squares in only one way, i.e., 6239004840000 + 5761195262001 = 2497800^2 + 2400249^2 .

It is not a de Polignac number, because 12000200102001 - 2⁷ = 12000200101873 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: 1333355566889 = 12000200102001 / (1 + 2 + 0 + 0 + 0 + 2 + 0 + 0 + 1 + 0 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (12000200102801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 666677783436 + ... + 666677783453.

It is an arithmetic number, because the mean of its divisors is an integer number (2888937061595).

Almost surely, 2^{12000200102001} is an apocalyptic number.

It is an amenable number.

12000200102001 is a deficient number, since it is larger than the sum of its proper divisors (5333422267569).

12000200102001 is a wasteful number, since it uses less digits than its factorization.

12000200102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333355566895 (or 1333355566892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12000200102001 its reverse (10020100200021), we get a palindrome (22020300302022).

The spelling of 12000200102001 in words is "twelve trillion, two hundred million, one hundred two thousand, one".