100111001077 has 2 divisors, whose sum is σ = 100111001078. Its totient is φ = 100111001076.

The previous prime is 100111001071. The next prime is 100111001087. The reversal of 100111001077 is 770100111001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99779542641 + 331458436 = 315879^2 + 18206^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111001077 - 2³ = 100111001069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111001071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500538 + 50055500539.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500539).

Almost surely, 2^100111001077 is an apocalyptic number.

It is an amenable number.

100111001077 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111001077 is an equidigital number, since it uses as much as digits as its factorization.

100111001077 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 100111001077 its reverse (770100111001), we get a palindrome (870211112078).

The spelling of 100111001077 in words is "one hundred billion, one hundred eleven million, one thousand, seventy-seven".