10100010110077 has 2 divisors, whose sum is σ = 10100010110078. Its totient is φ = 10100010110076.

The previous prime is 10100010110017. The next prime is 10100010110083. The reversal of 10100010110077 is 77001101000101.

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., 9879574226041 + 220435884036 = 3143179^2 + 469506^2 .

It is an emirp because it is prime and its reverse (77001101000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100010110077 - 2²⁷ = 10099875892349 is a prime.

It is a super-2 number, since 2×10100010110077² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100010110017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005055038 + 5050005055039.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005055039).

Almost surely, 2^{10100010110077} is an apocalyptic number.

It is an amenable number.

10100010110077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100010110077 is an equidigital number, since it uses as much as digits as its factorization.

10100010110077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49, while the sum is 19.

Adding to 10100010110077 its reverse (77001101000101), we get a palindrome (87101111110178).

The spelling of 10100010110077 in words is "ten trillion, one hundred billion, ten million, one hundred ten thousand, seventy-seven".