10166759260101 has 20 divisors (see below), whose sum is σ = 15473935484172. Its totient is φ = 6649955739648.

The previous prime is 10166759260067. The next prime is 10166759260183. The reversal of 10166759260101 is 10106295766101.

It can be written as a sum of positive squares in 2 ways, for example, as 3093148800225 + 7073610459876 = 1758735^2 + 2659626^2 .

It is not a de Polignac number, because 10166759260101 - 2¹⁵ = 10166759227333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10166759260201) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1184104636 + ... + 1184113221.

Almost surely, 2^{10166759260101} is an apocalyptic number.

It is an amenable number.

10166759260101 is a deficient number, since it is larger than the sum of its proper divisors (5307176224071).

10166759260101 is an equidigital number, since it uses as much as digits as its factorization.

10166759260101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368217922 (or 2368217913 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 10166759260101 in words is "ten trillion, one hundred sixty-six billion, seven hundred fifty-nine million, two hundred sixty thousand, one hundred one".