10000010000921 has 2 divisors, whose sum is σ = 10000010000922. Its totient is φ = 10000010000920.

The previous prime is 10000010000861. The next prime is 10000010000923. The reversal of 10000010000921 is 12900001000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5069882689600 + 4930127311321 = 2251640^2 + 2220389^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000010000921 - 2¹⁰ = 10000009999897 is a prime.

Together with 10000010000923, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000010000896 and 10000010000905.

It is not a weakly prime, because it can be changed into another prime (10000010000923) 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, 5000005000460 + 5000005000461.

It is an arithmetic number, because the mean of its divisors is an integer number (5000005000461).

Almost surely, 2^{10000010000921} is an apocalyptic number.

It is an amenable number.

10000010000921 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000010000921 is an equidigital number, since it uses as much as digits as its factorization.

10000010000921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10000010000921 its reverse (12900001000001), we get a palindrome (22900011000922).

The spelling of 10000010000921 in words is "ten trillion, ten million, nine hundred twenty-one", and thus it is an aban number.