101112111993617 has 2 divisors, whose sum is σ = 101112111993618. Its totient is φ = 101112111993616.

The previous prime is 101112111993589. The next prime is 101112111993619. The reversal of 101112111993617 is 716399111211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95582611476496 + 5529500517121 = 9776636^2 + 2351489^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112111993617 - 2¹² = 101112111989521 is a prime.

Together with 101112111993619, 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 (101112111993619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556055996808 + 50556055996809.

It is an arithmetic number, because the mean of its divisors is an integer number (50556055996809).

Almost surely, 2^{101112111993617} is an apocalyptic number.

It is an amenable number.

101112111993617 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112111993617 is an equidigital number, since it uses as much as digits as its factorization.

101112111993617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 44.

The spelling of 101112111993617 in words is "one hundred one trillion, one hundred twelve billion, one hundred eleven million, nine hundred ninety-three thousand, six hundred seventeen".