100032122321 has 4 divisors (see below), whose sum is σ = 101063381412. Its totient is φ = 99000863232.

The previous prime is 100032122303. The next prime is 100032122329. The reversal of 100032122321 is 123221230001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 123221230001 = 2467 ⋅49947803.

It can be written as a sum of positive squares in 2 ways, for example, as 35802316225 + 64229806096 = 189215^2 + 253436^2 .

It is not a de Polignac number, because 100032122321 - 2¹⁸ = 100031860177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100032122321.

It is not an unprimeable number, because it can be changed into a prime (100032122329) 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 3 ways as a sum of consecutive naturals, for example, 515629400 + ... + 515629593.

It is an arithmetic number, because the mean of its divisors is an integer number (25265845353).

Almost surely, 2^100032122321 is an apocalyptic number.

It is an amenable number.

100032122321 is a deficient number, since it is larger than the sum of its proper divisors (1031259091).

100032122321 is an equidigital number, since it uses as much as digits as its factorization.

100032122321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031259090.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100032122321 its reverse (123221230001), we get a palindrome (223253352322).

The spelling of 100032122321 in words is "one hundred billion, thirty-two million, one hundred twenty-two thousand, three hundred twenty-one".