101010001090091 has 2 divisors, whose sum is σ = 101010001090092. Its totient is φ = 101010001090090.

The previous prime is 101010001090049. The next prime is 101010001090111. The reversal of 101010001090091 is 190090100010101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101010001090091 - 2¹⁸ = 101010000827947 is a prime.

It is not a weakly prime, because it can be changed into another prime (101010001090591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000545045 + 50505000545046.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000545046).

Almost surely, 2^{101010001090091} is an apocalyptic number.

101010001090091 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010001090091 is an equidigital number, since it uses as much as digits as its factorization.

101010001090091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 101010001090091 in words is "one hundred one trillion, ten billion, one million, ninety thousand, ninety-one".