1010010100091 has 2 divisors, whose sum is σ = 1010010100092. Its totient is φ = 1010010100090.

The previous prime is 1010010100009. The next prime is 1010010100139. The reversal of 1010010100091 is 1900010100101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1010010100091 - 2²⁶ = 1009942991227 is a prime.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (1010010102091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505005050045 + 505005050046.

It is an arithmetic number, because the mean of its divisors is an integer number (505005050046).

Almost surely, 2^{1010010100091} is an apocalyptic number.

1010010100091 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010010100091 is an equidigital number, since it uses as much as digits as its factorization.

1010010100091 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 14.

Adding to 1010010100091 its reverse (1900010100101), we get a palindrome (2910020200192).

The spelling of 1010010100091 in words is "one trillion, ten billion, ten million, one hundred thousand, ninety-one".