101011100099977 has 2 divisors, whose sum is σ = 101011100099978. Its totient is φ = 101011100099976.

The previous prime is 101011100099857. The next prime is 101011100100007. The reversal of 101011100099977 is 779990001110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75045767106816 + 25965332993161 = 8662896^2 + 5095619^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011100099977 - 2¹⁵ = 101011100067209 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011160099977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505550049988 + 50505550049989.

It is an arithmetic number, because the mean of its divisors is an integer number (50505550049989).

Almost surely, 2^{101011100099977} is an apocalyptic number.

It is an amenable number.

101011100099977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011100099977 is an equidigital number, since it uses as much as digits as its factorization.

101011100099977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35721, while the sum is 46.

The spelling of 101011100099977 in words is "one hundred one trillion, eleven billion, one hundred million, ninety-nine thousand, nine hundred seventy-seven".