21100202132321 has 8 divisors (see below), whose sum is σ = 22723388121000. Its totient is φ = 19477029503232.

The previous prime is 21100202132311. The next prime is 21100202132341. The reversal of 21100202132321 is 12323120200112.

It can be written as a sum of positive squares in 4 ways, for example, as 13445158231696 + 7655043900625 = 3666764^2 + 2766775^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21100202132321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21100202132293 and 21100202132302.

It is not an unprimeable number, because it can be changed into a prime (21100202132311) 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, 69305 + ... + 6496553.

It is an arithmetic number, because the mean of its divisors is an integer number (2840423515125).

Almost surely, 2^{21100202132321} is an apocalyptic number.

It is an amenable number.

21100202132321 is a deficient number, since it is larger than the sum of its proper divisors (1623185988679).

21100202132321 is a wasteful number, since it uses less digits than its factorization.

21100202132321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6679795.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21100202132321 its reverse (12323120200112), we get a palindrome (33423322332433).

The spelling of 21100202132321 in words is "twenty-one trillion, one hundred billion, two hundred two million, one hundred thirty-two thousand, three hundred twenty-one".