10091829100100 has 72 divisors (see below), whose sum is σ = 24713908833600. Its totient is φ = 3543212713600.

The previous prime is 10091829100097. The next prime is 10091829100103. The reversal of 10091829100100 is 100192819001.

It is an interprime number because it is at equal distance from previous prime (10091829100097) and next prime (10091829100103).

It is not an unprimeable number, because it can be changed into a prime (10091829100103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158147240 + ... + 158211039.

It is an arithmetic number, because the mean of its divisors is an integer number (343248733800).

Almost surely, 2^{10091829100100} is an apocalyptic number.

10091829100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10091829100100 is an abundant number, since it is smaller than the sum of its proper divisors (14622079733500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10091829100100 is a wasteful number, since it uses less digits than its factorization.

10091829100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316358333 (or 316358326 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 32.

The spelling of 10091829100100 in words is "ten trillion, ninety-one billion, eight hundred twenty-nine million, one hundred thousand, one hundred".