10167691917601 has 2 divisors, whose sum is σ = 10167691917602. Its totient is φ = 10167691917600.

The previous prime is 10167691917547. The next prime is 10167691917613. The reversal of 10167691917601 is 10671919676101.

10167691917601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7836500390625 + 2331191526976 = 2799375^2 + 1526824^2 .

It is an emirp because it is prime and its reverse (10671919676101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10167691917601 - 2¹⁹ = 10167691393313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10167691917641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5083845958800 + 5083845958801.

It is an arithmetic number, because the mean of its divisors is an integer number (5083845958801).

Almost surely, 2^{10167691917601} is an apocalyptic number.

It is an amenable number.

10167691917601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10167691917601 is an equidigital number, since it uses as much as digits as its factorization.

10167691917601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 857304, while the sum is 55.

The spelling of 10167691917601 in words is "ten trillion, one hundred sixty-seven billion, six hundred ninety-one million, nine hundred seventeen thousand, six hundred one".