10000101100117 has 2 divisors, whose sum is σ = 10000101100118. Its totient is φ = 10000101100116.

The previous prime is 10000101100069. The next prime is 10000101100133. The reversal of 10000101100117 is 71100110100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9537386886756 + 462714213361 = 3088266^2 + 680231^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000101100117 is a prime.

It is a super-2 number, since 2×10000101100117² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000101100097 and 10000101100106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000101101117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050550058 + 5000050550059.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050550059).

Almost surely, 2^{10000101100117} is an apocalyptic number.

It is an amenable number.

10000101100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000101100117 is an equidigital number, since it uses as much as digits as its factorization.

10000101100117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 10000101100117 its reverse (71100110100001), we get a palindrome (81100211200118).

The spelling of 10000101100117 in words is "ten trillion, one hundred one million, one hundred thousand, one hundred seventeen".