100012321 has 8 divisors (see below), whose sum is σ = 101421864. Its totient is φ = 98611200.

The previous prime is 100012301. The next prime is 100012337. The reversal of 100012321 is 123210001.

It can be written as a sum of positive squares in 4 ways, for example, as 95648400 + 4363921 = 9780^2 + 2089^2 .

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 100012321 - 2¹⁵ = 99979553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100012298 and 100012307.

It is not an unprimeable number, because it can be changed into a prime (100012301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24031 + ... + 27883.

It is an arithmetic number, because the mean of its divisors is an integer number (12677733).

Almost surely, 2^100012321 is an apocalyptic number.

It is an amenable number.

100012321 is a deficient number, since it is larger than the sum of its proper divisors (1409543).

100012321 is a wasteful number, since it uses less digits than its factorization.

100012321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 100012321 is about 10000.6160310253. The cubic root of 100012321 is about 464.1779455838.

Adding to 100012321 its reverse (123210001), we get a palindrome (223222322).

The spelling of 100012321 in words is "one hundred million, twelve thousand, three hundred twenty-one".