21100100012321 has 16 divisors (see below), whose sum is σ = 23171272777728. Its totient is φ = 19054430178000.

The previous prime is 21100100012227. The next prime is 21100100012363. The reversal of 21100100012321 is 12321000100112.

It is a cyclic number.

It is not a de Polignac number, because 21100100012321 - 2¹⁰ = 21100100011297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21100100012296 and 21100100012305.

It is not an unprimeable number, because it can be changed into a prime (21100100072321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85662686 + ... + 85908648.

It is an arithmetic number, because the mean of its divisors is an integer number (1448204548608).

Almost surely, 2^{21100100012321} is an apocalyptic number.

It is an amenable number.

21100100012321 is a deficient number, since it is larger than the sum of its proper divisors (2071172765407).

21100100012321 is a wasteful number, since it uses less digits than its factorization.

21100100012321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297772.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 21100100012321 its reverse (12321000100112), we get a palindrome (33421100112433).

The spelling of 21100100012321 in words is "twenty-one trillion, one hundred billion, one hundred million, twelve thousand, three hundred twenty-one".