2001013112221 has 2 divisors, whose sum is σ = 2001013112222. Its totient is φ = 2001013112220.

The previous prime is 2001013112129. The next prime is 2001013112281. The reversal of 2001013112221 is 1222113101002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1291609520100 + 709403592121 = 1136490^2 + 842261^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001013112221 - 2⁹ = 2001013111709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001013112195 and 2001013112204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001013112281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000506556110 + 1000506556111.

It is an arithmetic number, because the mean of its divisors is an integer number (1000506556111).

Almost surely, 2^{2001013112221} is an apocalyptic number.

It is an amenable number.

2001013112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001013112221 is an equidigital number, since it uses as much as digits as its factorization.

2001013112221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2001013112221 its reverse (1222113101002), we get a palindrome (3223126213223).

The spelling of 2001013112221 in words is "two trillion, one billion, thirteen million, one hundred twelve thousand, two hundred twenty-one".