10091829100101 has 16 divisors (see below), whose sum is σ = 15530282974848. Its totient is φ = 5709662856000.

The previous prime is 10091829100097. The next prime is 10091829100103. The reversal of 10091829100101 is 10100192819001.

It is not a de Polignac number, because 10091829100101 - 2² = 10091829100097 is a prime.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2379024070 + ... + 2379028311.

It is an arithmetic number, because the mean of its divisors is an integer number (970642685928).

Almost surely, 2^{10091829100101} is an apocalyptic number.

It is an amenable number.

10091829100101 is a deficient number, since it is larger than the sum of its proper divisors (5438453874747).

10091829100101 is a wasteful number, since it uses less digits than its factorization.

10091829100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758052492.

The product of its (nonzero) digits is 1296, while the sum is 33.

The spelling of 10091829100101 in words is "ten trillion, ninety-one billion, eight hundred twenty-nine million, one hundred thousand, one hundred one".