10166356340401 has 2 divisors, whose sum is σ = 10166356340402. Its totient is φ = 10166356340400.

The previous prime is 10166356340269. The next prime is 10166356340447. The reversal of 10166356340401 is 10404365366101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7242772737600 + 2923583602801 = 2691240^2 + 1709849^2 .

It is a cyclic number.

It is not a de Polignac number, because 10166356340401 - 2²¹ = 10166354243249 is a prime.

It is a super-2 number, since 2×10166356340401² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10166306340401) 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, 5083178170200 + 5083178170201.

It is an arithmetic number, because the mean of its divisors is an integer number (5083178170201).

Almost surely, 2^{10166356340401} is an apocalyptic number.

It is an amenable number.

10166356340401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10166356340401 is an equidigital number, since it uses as much as digits as its factorization.

10166356340401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 10166356340401 in words is "ten trillion, one hundred sixty-six billion, three hundred fifty-six million, three hundred forty thousand, four hundred one".