101410113031417 has 2 divisors, whose sum is σ = 101410113031418. Its totient is φ = 101410113031416.

The previous prime is 101410113031397. The next prime is 101410113031433. The reversal of 101410113031417 is 714130311014101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85476755492496 + 15933357538921 = 9245364^2 + 3991661^2 .

It is a cyclic number.

It is not a de Polignac number, because 101410113031417 - 2⁴³ = 92614020009209 is a prime.

It is a super-2 number, since 2×101410113031417² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101410113035417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50705056515708 + 50705056515709.

It is an arithmetic number, because the mean of its divisors is an integer number (50705056515709).

Almost surely, 2^{101410113031417} is an apocalyptic number.

It is an amenable number.

101410113031417 is a deficient number, since it is larger than the sum of its proper divisors (1).

101410113031417 is an equidigital number, since it uses as much as digits as its factorization.

101410113031417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 28.

Adding to 101410113031417 its reverse (714130311014101), we get a palindrome (815540424045518).

The spelling of 101410113031417 in words is "one hundred one trillion, four hundred ten billion, one hundred thirteen million, thirty-one thousand, four hundred seventeen".