2200002112001 has 2 divisors, whose sum is σ = 2200002112002. Its totient is φ = 2200002112000.

The previous prime is 2200002111961. The next prime is 2200002112003. The reversal of 2200002112001 is 1002112000022.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1471029379600 + 728972732401 = 1212860^2 + 853799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2200002112001 is a prime.

Together with 2200002112003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2200002112003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100001056000 + 1100001056001.

It is an arithmetic number, because the mean of its divisors is an integer number (1100001056001).

Almost surely, 2^{2200002112001} is an apocalyptic number.

It is an amenable number.

2200002112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200002112001 is an equidigital number, since it uses as much as digits as its factorization.

2200002112001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2200002112001 its reverse (1002112000022), we get a palindrome (3202114112023).

The spelling of 2200002112001 in words is "two trillion, two hundred billion, two million, one hundred twelve thousand, one".