10401037077677 has 2 divisors, whose sum is σ = 10401037077678. Its totient is φ = 10401037077676.

The previous prime is 10401037077581. The next prime is 10401037077713. The reversal of 10401037077677 is 77677073010401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8956199421481 + 1444837656196 = 2992691^2 + 1202014^2 .

It is an emirp because it is prime and its reverse (77677073010401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10401037077677 - 2⁸ = 10401037077421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10401037097677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200518538838 + 5200518538839.

It is an arithmetic number, because the mean of its divisors is an integer number (5200518538839).

Almost surely, 2^{10401037077677} is an apocalyptic number.

It is an amenable number.

10401037077677 is a deficient number, since it is larger than the sum of its proper divisors (1).

10401037077677 is an equidigital number, since it uses as much as digits as its factorization.

10401037077677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1210104, while the sum is 50.

The spelling of 10401037077677 in words is "ten trillion, four hundred one billion, thirty-seven million, seventy-seven thousand, six hundred seventy-seven".