10201102022117 has 2 divisors, whose sum is σ = 10201102022118. Its totient is φ = 10201102022116.

The previous prime is 10201102022047. The next prime is 10201102022141. The reversal of 10201102022117 is 71122020110201.

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., 6809338899841 + 3391763122276 = 2609471^2 + 1841674^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201102022117 - 2¹⁰ = 10201102021093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201102022197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100551011058 + 5100551011059.

It is an arithmetic number, because the mean of its divisors is an integer number (5100551011059).

Almost surely, 2^{10201102022117} is an apocalyptic number.

It is an amenable number.

10201102022117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201102022117 is an equidigital number, since it uses as much as digits as its factorization.

10201102022117 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10201102022117 its reverse (71122020110201), we get a palindrome (81323122132318).

The spelling of 10201102022117 in words is "ten trillion, two hundred one billion, one hundred two million, twenty-two thousand, one hundred seventeen".