10097913101 has 2 divisors, whose sum is σ = 10097913102. Its totient is φ = 10097913100.

The previous prime is 10097913097. The next prime is 10097913103. The reversal of 10097913101 is 10131979001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7745760100 + 2352153001 = 88010^2 + 48499^2 .

It is an emirp because it is prime and its reverse (10131979001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10097913101 - 2² = 10097913097 is a prime.

Together with 10097913103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10097913103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5048956550 + 5048956551.

It is an arithmetic number, because the mean of its divisors is an integer number (5048956551).

Almost surely, 2^10097913101 is an apocalyptic number.

It is an amenable number.

10097913101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10097913101 is an equidigital number, since it uses as much as digits as its factorization.

10097913101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1701, while the sum is 32.

The spelling of 10097913101 in words is "ten billion, ninety-seven million, nine hundred thirteen thousand, one hundred one".