2000112001001 has 2 divisors, whose sum is σ = 2000112001002. Its totient is φ = 2000112001000.

The previous prime is 2000112000917. The next prime is 2000112001003. The reversal of 2000112001001 is 1001002110002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1405886861401 + 594225139600 = 1185701^2 + 770860^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000112001001 - 2²⁶ = 2000044892137 is a prime.

Together with 2000112001003, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2000112001001.

It is not a weakly prime, because it can be changed into another prime (2000112001003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000056000500 + 1000056000501.

It is an arithmetic number, because the mean of its divisors is an integer number (1000056000501).

Almost surely, 2^{2000112001001} is an apocalyptic number.

It is an amenable number.

2000112001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000112001001 is an equidigital number, since it uses as much as digits as its factorization.

2000112001001 is an evil number, because the sum of its binary digits is even.

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

Adding to 2000112001001 its reverse (1001002110002), we get a palindrome (3001114111003).

The spelling of 2000112001001 in words is "two trillion, one hundred twelve million, one thousand, one".