100100000111077 has 2 divisors, whose sum is σ = 100100000111078. Its totient is φ = 100100000111076.

The previous prime is 100100000110991. The next prime is 100100000111117. The reversal of 100100000111077 is 770111000001001.

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., 67141734328036 + 32958265783041 = 8194006^2 + 5740929^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100000111077 - 2²³ = 100099991722469 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100000118077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050000055538 + 50050000055539.

It is an arithmetic number, because the mean of its divisors is an integer number (50050000055539).

Almost surely, 2^{100100000111077} is an apocalyptic number.

It is an amenable number.

100100000111077 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100000111077 is an equidigital number, since it uses as much as digits as its factorization.

100100000111077 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 100100000111077 its reverse (770111000001001), we get a palindrome (870211000112078).

The spelling of 100100000111077 in words is "one hundred trillion, one hundred billion, one hundred eleven thousand, seventy-seven".