101100000000997 has 2 divisors, whose sum is σ = 101100000000998. Its totient is φ = 101100000000996.

The previous prime is 101100000000991. The next prime is 101100000001031. The reversal of 101100000000997 is 799000000001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97889771693476 + 3210228307521 = 9893926^2 + 1791711^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100000000997 - 2¹⁹ = 101099999476709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100000000991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550000000498 + 50550000000499.

It is an arithmetic number, because the mean of its divisors is an integer number (50550000000499).

Almost surely, 2^{101100000000997} is an apocalyptic number.

It is an amenable number.

101100000000997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100000000997 is an equidigital number, since it uses as much as digits as its factorization.

101100000000997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 28.

The spelling of 101100000000997 in words is "one hundred one trillion, one hundred billion, nine hundred ninety-seven", and thus it is an aban number.