101102100202217 has 2 divisors, whose sum is σ = 101102100202218. Its totient is φ = 101102100202216.

The previous prime is 101102100202163. The next prime is 101102100202247. The reversal of 101102100202217 is 712202001201101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65772164880016 + 35329935322201 = 8110004^2 + 5943899^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102100202217 - 2⁶ = 101102100202153 is a prime.

It is not a weakly prime, because it can be changed into another prime (101102100202247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551050101108 + 50551050101109.

It is an arithmetic number, because the mean of its divisors is an integer number (50551050101109).

Almost surely, 2^{101102100202217} is an apocalyptic number.

It is an amenable number.

101102100202217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102100202217 is an equidigital number, since it uses as much as digits as its factorization.

101102100202217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 101102100202217 its reverse (712202001201101), we get a palindrome (813304101403318).

The spelling of 101102100202217 in words is "one hundred one trillion, one hundred two billion, one hundred million, two hundred two thousand, two hundred seventeen".