10091829100103 has 2 divisors, whose sum is σ = 10091829100104. Its totient is φ = 10091829100102.

The previous prime is 10091829100097. The next prime is 10091829100207. The reversal of 10091829100103 is 30100192819001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10091829100103 - 2⁶ = 10091829100039 is a prime.

It is a super-2 number, since 2×10091829100103² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10091829105103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5045914550051 + 5045914550052.

It is an arithmetic number, because the mean of its divisors is an integer number (5045914550052).

Almost surely, 2^{10091829100103} is an apocalyptic number.

10091829100103 is a deficient number, since it is larger than the sum of its proper divisors (1).

10091829100103 is an equidigital number, since it uses as much as digits as its factorization.

10091829100103 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 35.

The spelling of 10091829100103 in words is "ten trillion, ninety-one billion, eight hundred twenty-nine million, one hundred thousand, one hundred three".