10011000100021 has 2 divisors, whose sum is σ = 10011000100022. Its totient is φ = 10011000100020.

The previous prime is 10011000099977. The next prime is 10011000100043. The reversal of 10011000100021 is 12000100011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6188720945796 + 3822279154225 = 2487714^2 + 1955065^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011000100021 - 2¹⁵ = 10011000067253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011000099977 and 10011000100013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011000107021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005500050010 + 5005500050011.

It is an arithmetic number, because the mean of its divisors is an integer number (5005500050011).

Almost surely, 2^{10011000100021} is an apocalyptic number.

It is an amenable number.

10011000100021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011000100021 is an equidigital number, since it uses as much as digits as its factorization.

10011000100021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10011000100021 its reverse (12000100011001), we get a palindrome (22011100111022).

The spelling of 10011000100021 in words is "ten trillion, eleven billion, one hundred thousand, twenty-one".