10011000099977 has 2 divisors, whose sum is σ = 10011000099978. Its totient is φ = 10011000099976.

The previous prime is 10011000099943. The next prime is 10011000100021. The reversal of 10011000099977 is 77999000011001.

It is an a-pointer prime, because the next prime (10011000100021) can be obtained adding 10011000099977 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9173562806521 + 837437293456 = 3028789^2 + 915116^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011000099977 - 2⁸ = 10011000099721 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011000093977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005500049988 + 5005500049989.

It is an arithmetic number, because the mean of its divisors is an integer number (5005500049989).

Almost surely, 2^{10011000099977} is an apocalyptic number.

It is an amenable number.

10011000099977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011000099977 is an equidigital number, since it uses as much as digits as its factorization.

10011000099977 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 44.

The spelling of 10011000099977 in words is "ten trillion, eleven billion, ninety-nine thousand, nine hundred seventy-seven".