21033132033101 has 2 divisors, whose sum is σ = 21033132033102. Its totient is φ = 21033132033100.

The previous prime is 21033132033049. The next prime is 21033132033139. The reversal of 21033132033101 is 10133023133012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19956331497001 + 1076800536100 = 4467251^2 + 1037690^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21033132033101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21033132033181) 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 as a sum of consecutive naturals, namely, 10516566016550 + 10516566016551.

It is an arithmetic number, because the mean of its divisors is an integer number (10516566016551).

Almost surely, 2^{21033132033101} is an apocalyptic number.

It is an amenable number.

21033132033101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21033132033101 is an equidigital number, since it uses as much as digits as its factorization.

21033132033101 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 21033132033101 its reverse (10133023133012), we get a palindrome (31166155166113).

The spelling of 21033132033101 in words is "twenty-one trillion, thirty-three billion, one hundred thirty-two million, thirty-three thousand, one hundred one".