2100100321 has 24 divisors (see below), whose sum is σ = 2463713280. Its totient is φ = 1782506880.

The previous prime is 2100100309. The next prime is 2100100351. The reversal of 2100100321 is 1230010012.

It is not a de Polignac number, because 2100100321 - 2¹³ = 2100092129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100100298 and 2100100307.

It is not an unprimeable number, because it can be changed into a prime (2100100351) 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 23 ways as a sum of consecutive naturals, for example, 257220 + ... + 265258.

It is an arithmetic number, because the mean of its divisors is an integer number (102654720).

Almost surely, 2^2100100321 is an apocalyptic number.

It is an amenable number.

2100100321 is a deficient number, since it is larger than the sum of its proper divisors (363612959).

2100100321 is a wasteful number, since it uses less digits than its factorization.

2100100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8205 (or 8194 counting only the distinct ones).

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

The square root of 2100100321 is about 45826.8515283343. The cubic root of 2100100321 is about 1280.5995565648.

Adding to 2100100321 its reverse (1230010012), we get a palindrome (3330110333).

The spelling of 2100100321 in words is "two billion, one hundred million, one hundred thousand, three hundred twenty-one".