103313210109101 has 2 divisors, whose sum is σ = 103313210109102. Its totient is φ = 103313210109100.

The previous prime is 103313210109091. The next prime is 103313210109103. The reversal of 103313210109101 is 101901012313301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98176192392100 + 5137017717001 = 9908390^2 + 2266499^2 .

It is a cyclic number.

It is not a de Polignac number, because 103313210109101 - 2⁶ = 103313210109037 is a prime.

Together with 103313210109103, 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 (103313210109103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51656605054550 + 51656605054551.

It is an arithmetic number, because the mean of its divisors is an integer number (51656605054551).

Almost surely, 2^{103313210109101} is an apocalyptic number.

It is an amenable number.

103313210109101 is a deficient number, since it is larger than the sum of its proper divisors (1).

103313210109101 is an equidigital number, since it uses as much as digits as its factorization.

103313210109101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 26.

The spelling of 103313210109101 in words is "one hundred three trillion, three hundred thirteen billion, two hundred ten million, one hundred nine thousand, one hundred one".