10032332101 has 16 divisors (see below), whose sum is σ = 11525693760. Its totient is φ = 8636302080.

The previous prime is 10032332087. The next prime is 10032332113. The reversal of 10032332101 is 10123323001.

It is a cyclic number.

It is not a de Polignac number, because 10032332101 - 2¹⁷ = 10032201029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032332131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499485 + ... + 519181.

It is an arithmetic number, because the mean of its divisors is an integer number (720355860).

Almost surely, 2^10032332101 is an apocalyptic number.

10032332101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10032332101 is a deficient number, since it is larger than the sum of its proper divisors (1493361659).

10032332101 is a wasteful number, since it uses less digits than its factorization.

10032332101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22164.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10032332101 its reverse (10123323001), we get a palindrome (20155655102).

The spelling of 10032332101 in words is "ten billion, thirty-two million, three hundred thirty-two thousand, one hundred one".