100105001000077 has 2 divisors, whose sum is σ = 100105001000078. Its totient is φ = 100105001000076.

The previous prime is 100105001000029. The next prime is 100105001000087. The reversal of 100105001000077 is 770000100501001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85881626010756 + 14223374989321 = 9267234^2 + 3771389^2 .

It is an emirp because it is prime and its reverse (770000100501001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100105001000077 - 2²³ = 100104992611469 is a prime.

It is a super-2 number, since 2×100105001000077² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105001000087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052500500038 + 50052500500039.

It is an arithmetic number, because the mean of its divisors is an integer number (50052500500039).

Almost surely, 2^{100105001000077} is an apocalyptic number.

It is an amenable number.

100105001000077 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105001000077 is an equidigital number, since it uses as much as digits as its factorization.

100105001000077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 245, while the sum is 22.

Adding to 100105001000077 its reverse (770000100501001), we get a palindrome (870105101501078).

The spelling of 100105001000077 in words is "one hundred trillion, one hundred five billion, one million, seventy-seven", and thus it is an aban number.