21330332310101 has 2 divisors, whose sum is σ = 21330332310102. Its totient is φ = 21330332310100.

The previous prime is 21330332310037. The next prime is 21330332310109. The reversal of 21330332310101 is 10101323303312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21290980066225 + 39352243876 = 4614215^2 + 198374^2 .

It is a cyclic number.

It is not a de Polignac number, because 21330332310101 - 2⁶ = 21330332310037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21330332310109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10665166155050 + 10665166155051.

It is an arithmetic number, because the mean of its divisors is an integer number (10665166155051).

Almost surely, 2^{21330332310101} is an apocalyptic number.

It is an amenable number.

21330332310101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21330332310101 is an equidigital number, since it uses as much as digits as its factorization.

21330332310101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 21330332310101 its reverse (10101323303312), we get a palindrome (31431655613413).

The spelling of 21330332310101 in words is "twenty-one trillion, three hundred thirty billion, three hundred thirty-two million, three hundred ten thousand, one hundred one".