10091829100097 has 2 divisors, whose sum is σ = 10091829100098. Its totient is φ = 10091829100096.

The previous prime is 10091829100081. The next prime is 10091829100103. The reversal of 10091829100097 is 79000192819001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9800211819841 + 291617280256 = 3130529^2 + 540016^2 .

It is a cyclic number.

It is not a de Polignac number, because 10091829100097 - 2⁴ = 10091829100081 is a prime.

It is not a weakly prime, because it can be changed into another prime (10091829100697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5045914550048 + 5045914550049.

It is an arithmetic number, because the mean of its divisors is an integer number (5045914550049).

Almost surely, 2^{10091829100097} is an apocalyptic number.

It is an amenable number.

10091829100097 is a deficient number, since it is larger than the sum of its proper divisors (1).

10091829100097 is an equidigital number, since it uses as much as digits as its factorization.

10091829100097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 47.

The spelling of 10091829100097 in words is "ten trillion, ninety-one billion, eight hundred twenty-nine million, one hundred thousand, ninety-seven".