10101002101217 has 2 divisors, whose sum is σ = 10101002101218. Its totient is φ = 10101002101216.

The previous prime is 10101002101163. The next prime is 10101002101231. The reversal of 10101002101217 is 71210120010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10017250320016 + 83751781201 = 3165004^2 + 289399^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101002101217 - 2²⁰ = 10101001052641 is a prime.

It is a super-2 number, since 2×10101002101217² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10101002101195 and 10101002101204.

It is not a weakly prime, because it can be changed into another prime (10101002101717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050501050608 + 5050501050609.

It is an arithmetic number, because the mean of its divisors is an integer number (5050501050609).

Almost surely, 2^{10101002101217} is an apocalyptic number.

It is an amenable number.

10101002101217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101002101217 is an equidigital number, since it uses as much as digits as its factorization.

10101002101217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 10101002101217 its reverse (71210120010101), we get a palindrome (81311122111318).

The spelling of 10101002101217 in words is "ten trillion, one hundred one billion, two million, one hundred one thousand, two hundred seventeen".