100100100017077 has 2 divisors, whose sum is σ = 100100100017078. Its totient is φ = 100100100017076.

The previous prime is 100100100017017. The next prime is 100100100017107. The reversal of 100100100017077 is 770710001001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89574753787236 + 10525346229841 = 9464394^2 + 3244279^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100100017077 - 2³¹ = 100097952533429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100100017017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050050008538 + 50050050008539.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050008539).

Almost surely, 2^{100100100017077} is an apocalyptic number.

It is an amenable number.

100100100017077 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100100017077 is an equidigital number, since it uses as much as digits as its factorization.

100100100017077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 343, while the sum is 25.

Adding to 100100100017077 its reverse (770710001001001), we get a palindrome (870810101018078).

The spelling of 100100100017077 in words is "one hundred trillion, one hundred billion, one hundred million, seventeen thousand, seventy-seven".