10201409116117 has 2 divisors, whose sum is σ = 10201409116118. Its totient is φ = 10201409116116.

The previous prime is 10201409116097. The next prime is 10201409116121. The reversal of 10201409116117 is 71161190410201.

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., 9706751500356 + 494657615761 = 3115566^2 + 703319^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201409116117 - 2²³ = 10201400727509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201409113117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100704558058 + 5100704558059.

It is an arithmetic number, because the mean of its divisors is an integer number (5100704558059).

Almost surely, 2^{10201409116117} is an apocalyptic number.

It is an amenable number.

10201409116117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201409116117 is an equidigital number, since it uses as much as digits as its factorization.

10201409116117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 34.

Adding to 10201409116117 its reverse (71161190410201), we get a palindrome (81362599526318).

The spelling of 10201409116117 in words is "ten trillion, two hundred one billion, four hundred nine million, one hundred sixteen thousand, one hundred seventeen".