101110966893373 has 2 divisors, whose sum is σ = 101110966893374. Its totient is φ = 101110966893372.

The previous prime is 101110966893371. The next prime is 101110966893379. The reversal of 101110966893373 is 373398669011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81398414719449 + 19712552173924 = 9022107^2 + 4439882^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110966893373 - 2¹ = 101110966893371 is a prime.

It is a super-2 number, since 2×101110966893373² (a number of 29 digits) contains 22 as substring.

Together with 101110966893371, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110966893371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555483446686 + 50555483446687.

It is an arithmetic number, because the mean of its divisors is an integer number (50555483446687).

Almost surely, 2^{101110966893373} is an apocalyptic number.

It is an amenable number.

101110966893373 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110966893373 is an equidigital number, since it uses as much as digits as its factorization.

101110966893373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4408992, while the sum is 58.

The spelling of 101110966893373 in words is "one hundred one trillion, one hundred ten billion, nine hundred sixty-six million, eight hundred ninety-three thousand, three hundred seventy-three".