21211101021133 has 2 divisors, whose sum is σ = 21211101021134. Its totient is φ = 21211101021132.

The previous prime is 21211101021101. The next prime is 21211101021191. The reversal of 21211101021133 is 33112010111212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18187265210409 + 3023835810724 = 4264653^2 + 1738918^2 .

It is a cyclic number.

It is not a de Polignac number, because 21211101021133 - 2⁵ = 21211101021101 is a prime.

It is a super-3 number, since 3×21211101021133³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21211101021133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21211101021433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10605550510566 + 10605550510567.

It is an arithmetic number, because the mean of its divisors is an integer number (10605550510567).

Almost surely, 2^{21211101021133} is an apocalyptic number.

It is an amenable number.

21211101021133 is a deficient number, since it is larger than the sum of its proper divisors (1).

21211101021133 is an equidigital number, since it uses as much as digits as its factorization.

21211101021133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 21211101021133 its reverse (33112010111212), we get a palindrome (54323111132345).

The spelling of 21211101021133 in words is "twenty-one trillion, two hundred eleven billion, one hundred one million, twenty-one thousand, one hundred thirty-three".