101121475817 has 2 divisors, whose sum is σ = 101121475818. Its totient is φ = 101121475816.

The previous prime is 101121475753. The next prime is 101121475837. The reversal of 101121475817 is 718574121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69884094736 + 31237381081 = 264356^2 + 176741^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121475817 - 2⁶ = 101121475753 is a prime.

It is not a weakly prime, because it can be changed into another prime (101121475837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560737908 + 50560737909.

It is an arithmetic number, because the mean of its divisors is an integer number (50560737909).

Almost surely, 2^101121475817 is an apocalyptic number.

It is an amenable number.

101121475817 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121475817 is an equidigital number, since it uses as much as digits as its factorization.

101121475817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15680, while the sum is 38.

Adding to 101121475817 its reverse (718574121101), we get a palindrome (819695596918).

The spelling of 101121475817 in words is "one hundred one billion, one hundred twenty-one million, four hundred seventy-five thousand, eight hundred seventeen".