2221112101001 has 2 divisors, whose sum is σ = 2221112101002. Its totient is φ = 2221112101000.

The previous prime is 2221112100989. The next prime is 2221112101003. The reversal of 2221112101001 is 1001012111222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2072301323401 + 148810777600 = 1439549^2 + 385760^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221112101001 - 2⁶ = 2221112100937 is a prime.

Together with 2221112101003, 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 (2221112101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110556050500 + 1110556050501.

It is an arithmetic number, because the mean of its divisors is an integer number (1110556050501).

Almost surely, 2^{2221112101001} is an apocalyptic number.

It is an amenable number.

2221112101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221112101001 is an equidigital number, since it uses as much as digits as its factorization.

2221112101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2221112101001 its reverse (1001012111222), we get a palindrome (3222124212223).

The spelling of 2221112101001 in words is "two trillion, two hundred twenty-one billion, one hundred twelve million, one hundred one thousand, one".