2131710101 has 2 divisors, whose sum is σ = 2131710102. Its totient is φ = 2131710100.

The previous prime is 2131710041. The next prime is 2131710103. The reversal of 2131710101 is 1010171312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1089066001 + 1042644100 = 33001^2 + 32290^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131710101 - 2¹⁰ = 2131709077 is a prime.

Together with 2131710103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2131710101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131710103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065855050 + 1065855051.

It is an arithmetic number, because the mean of its divisors is an integer number (1065855051).

Almost surely, 2^2131710101 is an apocalyptic number.

It is an amenable number.

2131710101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131710101 is an equidigital number, since it uses as much as digits as its factorization.

2131710101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 17.

The square root of 2131710101 is about 46170.4461858449. The cubic root of 2131710101 is about 1286.9925937977.

Adding to 2131710101 its reverse (1010171312), we get a palindrome (3141881413).

The spelling of 2131710101 in words is "two billion, one hundred thirty-one million, seven hundred ten thousand, one hundred one".