10400545022177 has 2 divisors, whose sum is σ = 10400545022178. Its totient is φ = 10400545022176.

The previous prime is 10400545022117. The next prime is 10400545022191. The reversal of 10400545022177 is 77122054500401.

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., 8838734946001 + 1561810076176 = 2973001^2 + 1249724^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400545022177 - 2²⁰ = 10400543973601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10400545022177.

It is not a weakly prime, because it can be changed into another prime (10400545022117) 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, 5200272511088 + 5200272511089.

It is an arithmetic number, because the mean of its divisors is an integer number (5200272511089).

Almost surely, 2^{10400545022177} is an apocalyptic number.

It is an amenable number.

10400545022177 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400545022177 is an equidigital number, since it uses as much as digits as its factorization.

10400545022177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78400, while the sum is 38.

Adding to 10400545022177 its reverse (77122054500401), we get a palindrome (87522599522578).

The spelling of 10400545022177 in words is "ten trillion, four hundred billion, five hundred forty-five million, twenty-two thousand, one hundred seventy-seven".