10401917751077 has 2 divisors, whose sum is σ = 10401917751078. Its totient is φ = 10401917751076.

The previous prime is 10401917751053. The next prime is 10401917751079. The reversal of 10401917751077 is 77015771910401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8689088571076 + 1712829180001 = 2947726^2 + 1308751^2 .

It is a cyclic number.

It is not a de Polignac number, because 10401917751077 - 2¹⁶ = 10401917685541 is a prime.

Together with 10401917751079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10401917751079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200958875538 + 5200958875539.

It is an arithmetic number, because the mean of its divisors is an integer number (5200958875539).

Almost surely, 2^{10401917751077} is an apocalyptic number.

It is an amenable number.

10401917751077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10401917751077 is an equidigital number, since it uses as much as digits as its factorization.

10401917751077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432180, while the sum is 50.

The spelling of 10401917751077 in words is "ten trillion, four hundred one billion, nine hundred seventeen million, seven hundred fifty-one thousand, seventy-seven".