101112001002217 has 2 divisors, whose sum is σ = 101112001002218. Its totient is φ = 101112001002216.

The previous prime is 101112001002203. The next prime is 101112001002307. The reversal of 101112001002217 is 712200100211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51690693261376 + 49421307740841 = 7189624^2 + 7030029^2 .

It is an emirp because it is prime and its reverse (712200100211101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101112001002217 - 2²³ = 101111992613609 is a prime.

It is a super-2 number, since 2×101112001002217² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101112001002194 and 101112001002203.

It is not a weakly prime, because it can be changed into another prime (101112001002017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556000501108 + 50556000501109.

It is an arithmetic number, because the mean of its divisors is an integer number (50556000501109).

Almost surely, 2^{101112001002217} is an apocalyptic number.

It is an amenable number.

101112001002217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112001002217 is an equidigital number, since it uses as much as digits as its factorization.

101112001002217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 101112001002217 its reverse (712200100211101), we get a palindrome (813312101213318).

The spelling of 101112001002217 in words is "one hundred one trillion, one hundred twelve billion, one million, two thousand, two hundred seventeen".