10009282928201 has 2 divisors, whose sum is σ = 10009282928202. Its totient is φ = 10009282928200.

The previous prime is 10009282928123. The next prime is 10009282928263. The reversal of 10009282928201 is 10282928290001.

10009282928201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9371704632976 + 637578295225 = 3061324^2 + 798485^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10009282928201 is a prime.

It is not a weakly prime, because it can be changed into another prime (10009281928201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5004641464100 + 5004641464101.

It is an arithmetic number, because the mean of its divisors is an integer number (5004641464101).

Almost surely, 2^{10009282928201} is an apocalyptic number.

It is an amenable number.

10009282928201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10009282928201 is an equidigital number, since it uses as much as digits as its factorization.

10009282928201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82944, while the sum is 44.

The spelling of 10009282928201 in words is "ten trillion, nine billion, two hundred eighty-two million, nine hundred twenty-eight thousand, two hundred one".