1001112111721 has 2 divisors, whose sum is σ = 1001112111722. Its totient is φ = 1001112111720.

The previous prime is 1001112111709. The next prime is 1001112111761. The reversal of 1001112111721 is 1271112111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 530619006096 + 470493105625 = 728436^2 + 685925^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001112111721 - 2⁵ = 1001112111689 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001112111761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500556055860 + 500556055861.

It is an arithmetic number, because the mean of its divisors is an integer number (500556055861).

Almost surely, 2^{1001112111721} is an apocalyptic number.

It is an amenable number.

1001112111721 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001112111721 is an equidigital number, since it uses as much as digits as its factorization.

1001112111721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 19.

Adding to 1001112111721 its reverse (1271112111001), we get a palindrome (2272224222722).

The spelling of 1001112111721 in words is "one trillion, one billion, one hundred twelve million, one hundred eleven thousand, seven hundred twenty-one".