10000101091 has 2 divisors, whose sum is σ = 10000101092. Its totient is φ = 10000101090.

The previous prime is 10000101079. The next prime is 10000101103. The reversal of 10000101091 is 19010100001.

10000101091 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10000101079) and next prime (10000101103).

It is a cyclic number.

It is not a de Polignac number, because 10000101091 - 2¹³ = 10000092899 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000101491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050545 + 5000050546.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050546).

Almost surely, 2^10000101091 is an apocalyptic number.

10000101091 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000101091 is an equidigital number, since it uses as much as digits as its factorization.

10000101091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 10000101091 its reverse (19010100001), we get a palindrome (29010201092).

The spelling of 10000101091 in words is "ten billion, one hundred one thousand, ninety-one".