10032321101 has 16 divisors (see below), whose sum is σ = 11117191680. Its totient is φ = 8977182720.

The previous prime is 10032321083. The next prime is 10032321107. The reversal of 10032321101 is 10112323001.

10032321101 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10032321101 - 2³⁰ = 8958579277 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032321107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195341 + ... + 241293.

It is an arithmetic number, because the mean of its divisors is an integer number (694824480).

Almost surely, 2^10032321101 is an apocalyptic number.

10032321101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10032321101 is a deficient number, since it is larger than the sum of its proper divisors (1084870579).

10032321101 is a wasteful number, since it uses less digits than its factorization.

10032321101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46276.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10032321101 its reverse (10112323001), we get a palindrome (20144644102).

It can be divided in two parts, 10032 and 321101, that added together give a palindrome (331133).

The spelling of 10032321101 in words is "ten billion, thirty-two million, three hundred twenty-one thousand, one hundred one".