101000217005797 has 2 divisors, whose sum is σ = 101000217005798. Its totient is φ = 101000217005796.

The previous prime is 101000217005747. The next prime is 101000217005801. The reversal of 101000217005797 is 797500712000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100954386331236 + 45830674561 = 10047606^2 + 214081^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000217005797 - 2¹⁹ = 101000216481509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000217005717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500108502898 + 50500108502899.

It is an arithmetic number, because the mean of its divisors is an integer number (50500108502899).

Almost surely, 2^{101000217005797} is an apocalyptic number.

It is an amenable number.

101000217005797 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000217005797 is an equidigital number, since it uses as much as digits as its factorization.

101000217005797 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30870, while the sum is 40.

Adding to 101000217005797 its reverse (797500712000101), we get a palindrome (898500929005898).

The spelling of 101000217005797 in words is "one hundred one trillion, two hundred seventeen million, five thousand, seven hundred ninety-seven".