10101000968921 has 2 divisors, whose sum is σ = 10101000968922. Its totient is φ = 10101000968920.

The previous prime is 10101000968881. The next prime is 10101000968939. The reversal of 10101000968921 is 12986900010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6869405112025 + 3231595856896 = 2620955^2 + 1797664^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101000968921 - 2²⁶ = 10100933860057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101000968621) 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, 5050500484460 + 5050500484461.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500484461).

Almost surely, 2^{10101000968921} is an apocalyptic number.

It is an amenable number.

10101000968921 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101000968921 is an equidigital number, since it uses as much as digits as its factorization.

10101000968921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 38.

The spelling of 10101000968921 in words is "ten trillion, one hundred one billion, nine hundred sixty-eight thousand, nine hundred twenty-one".