101111000985217 has 2 divisors, whose sum is σ = 101111000985218. Its totient is φ = 101111000985216.

The previous prime is 101111000985161. The next prime is 101111000985233. The reversal of 101111000985217 is 712589000111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92470552377921 + 8640448607296 = 9616161^2 + 2939464^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111000985217 - 2³⁵ = 101076641246849 is a prime.

It is not a weakly prime, because it can be changed into another prime (101111000985277) 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, 50555500492608 + 50555500492609.

It is an arithmetic number, because the mean of its divisors is an integer number (50555500492609).

Almost surely, 2^{101111000985217} is an apocalyptic number.

It is an amenable number.

101111000985217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111000985217 is an equidigital number, since it uses as much as digits as its factorization.

101111000985217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 37.

The spelling of 101111000985217 in words is "one hundred one trillion, one hundred eleven billion, nine hundred eighty-five thousand, two hundred seventeen".