101022201022217 has 2 divisors, whose sum is σ = 101022201022218. Its totient is φ = 101022201022216.

The previous prime is 101022201022187. The next prime is 101022201022219. The reversal of 101022201022217 is 712220102220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92781029908681 + 8241171113536 = 9632291^2 + 2870744^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022201022217 - 2⁸ = 101022201021961 is a prime.

Together with 101022201022219, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101022201022192 and 101022201022201.

It is not a weakly prime, because it can be changed into another prime (101022201022219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511100511108 + 50511100511109.

It is an arithmetic number, because the mean of its divisors is an integer number (50511100511109).

Almost surely, 2^{101022201022217} is an apocalyptic number.

It is an amenable number.

101022201022217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022201022217 is an equidigital number, since it uses as much as digits as its factorization.

101022201022217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 101022201022217 its reverse (712220102220101), we get a palindrome (813242303242318).

The spelling of 101022201022217 in words is "one hundred one trillion, twenty-two billion, two hundred one million, twenty-two thousand, two hundred seventeen".