101113000210217 has 2 divisors, whose sum is σ = 101113000210218. Its totient is φ = 101113000210216.

The previous prime is 101113000210109. The next prime is 101113000210237. The reversal of 101113000210217 is 712012000311101.

It is an a-pointer prime, because the next prime (101113000210237) can be obtained adding 101113000210217 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100229811882256 + 883188327961 = 10011484^2 + 939781^2 .

It is a cyclic number.

It is not a de Polignac number, because 101113000210217 - 2⁸ = 101113000209961 is a prime.

It is a super-2 number, since 2×101113000210217² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101113000210237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556500105108 + 50556500105109.

It is an arithmetic number, because the mean of its divisors is an integer number (50556500105109).

Almost surely, 2^{101113000210217} is an apocalyptic number.

It is an amenable number.

101113000210217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101113000210217 is an equidigital number, since it uses as much as digits as its factorization.

101113000210217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 101113000210217 its reverse (712012000311101), we get a palindrome (813125000521318).

The spelling of 101113000210217 in words is "one hundred one trillion, one hundred thirteen billion, two hundred ten thousand, two hundred seventeen".