10021100999977 has 2 divisors, whose sum is σ = 10021100999978. Its totient is φ = 10021100999976.

The previous prime is 10021100999893. The next prime is 10021101000047. The reversal of 10021100999977 is 77999900112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9255005177616 + 766095822361 = 3042204^2 + 875269^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021100999977 - 2⁷ = 10021100999849 is a prime.

It is not a weakly prime, because it can be changed into another prime (10021100991977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010550499988 + 5010550499989.

It is an arithmetic number, because the mean of its divisors is an integer number (5010550499989).

Almost surely, 2^{10021100999977} is an apocalyptic number.

It is an amenable number.

10021100999977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021100999977 is an equidigital number, since it uses as much as digits as its factorization.

10021100999977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 642978, while the sum is 55.

The spelling of 10021100999977 in words is "ten trillion, twenty-one billion, one hundred million, nine hundred ninety-nine thousand, nine hundred seventy-seven".