100100110101077 has 2 divisors, whose sum is σ = 100100110101078. Its totient is φ = 100100110101076.

The previous prime is 100100110101071. The next prime is 100100110101091. The reversal of 100100110101077 is 770101011001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83033081838001 + 17067028263076 = 9112249^2 + 4131226^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100110101077 - 2²⁴ = 100100093323861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100110101071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050055050538 + 50050055050539.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055050539).

Almost surely, 2^{100100110101077} is an apocalyptic number.

It is an amenable number.

100100110101077 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100110101077 is an equidigital number, since it uses as much as digits as its factorization.

100100110101077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49, while the sum is 20.

Adding to 100100110101077 its reverse (770101011001001), we get a palindrome (870201121102078).

The spelling of 100100110101077 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred one thousand, seventy-seven".