101005340237 has 2 divisors, whose sum is σ = 101005340238. Its totient is φ = 101005340236.

The previous prime is 101005340179. The next prime is 101005340239. The reversal of 101005340237 is 732043500101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98112406441 + 2892933796 = 313229^2 + 53786^2 .

It is a cyclic number.

It is not a de Polignac number, because 101005340237 - 2¹² = 101005336141 is a prime.

Together with 101005340239, 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 (101005340239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50502670118 + 50502670119.

It is an arithmetic number, because the mean of its divisors is an integer number (50502670119).

Almost surely, 2^101005340237 is an apocalyptic number.

It is an amenable number.

101005340237 is a deficient number, since it is larger than the sum of its proper divisors (1).

101005340237 is an equidigital number, since it uses as much as digits as its factorization.

101005340237 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 26.

Adding to 101005340237 its reverse (732043500101), we get a palindrome (833048840338).

The spelling of 101005340237 in words is "one hundred one billion, five million, three hundred forty thousand, two hundred thirty-seven".