7917123101 has 2 divisors, whose sum is σ = 7917123102. Its totient is φ = 7917123100.

The previous prime is 7917123031. The next prime is 7917123103. The reversal of 7917123101 is 1013217197.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7602096100 + 315027001 = 87190^2 + 17749^2 .

It is an emirp because it is prime and its reverse (1013217197) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7917123101 - 2¹⁸ = 7916860957 is a prime.

It is a Sophie Germain prime.

Together with 7917123103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7917123103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3958561550 + 3958561551.

It is an arithmetic number, because the mean of its divisors is an integer number (3958561551).

Almost surely, 2^7917123101 is an apocalyptic number.

It is an amenable number.

7917123101 is a deficient number, since it is larger than the sum of its proper divisors (1).

7917123101 is an equidigital number, since it uses as much as digits as its factorization.

7917123101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 32.

The square root of 7917123101 is about 88978.2170028148. The cubic root of 7917123101 is about 1993.0696042968.

The spelling of 7917123101 in words is "seven billion, nine hundred seventeen million, one hundred twenty-three thousand, one hundred one".