101829201011 has 8 divisors (see below), whose sum is σ = 106383531600. Its totient is φ = 97344402400.

The previous prime is 101829200971. The next prime is 101829201031. The reversal of 101829201011 is 110102928101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101829201011 - 2¹⁰ = 101829199987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101829201031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17380001 + ... + 17385858.

It is an arithmetic number, because the mean of its divisors is an integer number (13297941450).

Almost surely, 2^101829201011 is an apocalyptic number.

101829201011 is a deficient number, since it is larger than the sum of its proper divisors (4554330589).

101829201011 is a wasteful number, since it uses less digits than its factorization.

101829201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34765989.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 101829201011 in words is "one hundred one billion, eight hundred twenty-nine million, two hundred one thousand, eleven".