21121100010133 has 2 divisors, whose sum is σ = 21121100010134. Its totient is φ = 21121100010132.

The previous prime is 21121100010083. The next prime is 21121100010161. The reversal of 21121100010133 is 33101000112112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14584165242084 + 6536934768049 = 3818922^2 + 2556743^2 .

It is a cyclic number.

It is not a de Polignac number, because 21121100010133 - 2⁹ = 21121100009621 is a prime.

It is a super-2 number, since 2×21121100010133² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21121100010193) 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, 10560550005066 + 10560550005067.

It is an arithmetic number, because the mean of its divisors is an integer number (10560550005067).

Almost surely, 2^{21121100010133} is an apocalyptic number.

It is an amenable number.

21121100010133 is a deficient number, since it is larger than the sum of its proper divisors (1).

21121100010133 is an equidigital number, since it uses as much as digits as its factorization.

21121100010133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 21121100010133 its reverse (33101000112112), we get a palindrome (54222100122245).

The spelling of 21121100010133 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred million, ten thousand, one hundred thirty-three".