2200010311001 has 2 divisors, whose sum is σ = 2200010311002. Its totient is φ = 2200010311000.

The previous prime is 2200010310943. The next prime is 2200010311039. The reversal of 2200010311001 is 1001130100022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2199986065225 + 24245776 = 1483235^2 + 4924^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200010311001 - 2¹⁸ = 2200010048857 is a prime.

It is not a weakly prime, because it can be changed into another prime (2200010311091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100005155500 + 1100005155501.

It is an arithmetic number, because the mean of its divisors is an integer number (1100005155501).

Almost surely, 2^{2200010311001} is an apocalyptic number.

It is an amenable number.

2200010311001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200010311001 is an equidigital number, since it uses as much as digits as its factorization.

2200010311001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 2200010311001 its reverse (1001130100022), we get a palindrome (3201140411023).

The spelling of 2200010311001 in words is "two trillion, two hundred billion, ten million, three hundred eleven thousand, one".