921101117 has 2 divisors, whose sum is σ = 921101118. Its totient is φ = 921101116.

The previous prime is 921101099. The next prime is 921101119. The reversal of 921101117 is 711101129.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 782544676 + 138556441 = 27974^2 + 11771^2 .

It is a cyclic number.

It is not a de Polignac number, because 921101117 - 2¹⁶ = 921035581 is a prime.

Together with 921101119, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 921101092 and 921101101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (921101119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 460550558 + 460550559.

It is an arithmetic number, because the mean of its divisors is an integer number (460550559).

Almost surely, 2^921101117 is an apocalyptic number.

It is an amenable number.

921101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

921101117 is an equidigital number, since it uses as much as digits as its factorization.

921101117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 23.

The square root of 921101117 is about 30349.6477244794. The cubic root of 921101117 is about 972.9766911172.

The spelling of 921101117 in words is "nine hundred twenty-one million, one hundred one thousand, one hundred seventeen".