10020100321 has 16 divisors (see below), whose sum is σ = 12498795648. Its totient is φ = 7803993600.

The previous prime is 10020100313. The next prime is 10020100421. The reversal of 10020100321 is 12300102001.

10020100321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10020100321 - 2³ = 10020100313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10020100298 and 10020100307.

It is not an unprimeable number, because it can be changed into a prime (10020100301) 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, 128971 + ... + 191503.

It is an arithmetic number, because the mean of its divisors is an integer number (781174728).

Almost surely, 2^10020100321 is an apocalyptic number.

10020100321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10020100321 is a deficient number, since it is larger than the sum of its proper divisors (2478695327).

10020100321 is a wasteful number, since it uses less digits than its factorization.

10020100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64632.

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

Adding to 10020100321 its reverse (12300102001), we get a palindrome (22320202322).

The spelling of 10020100321 in words is "ten billion, twenty million, one hundred thousand, three hundred twenty-one".