10211102212133 has 2 divisors, whose sum is σ = 10211102212134. Its totient is φ = 10211102212132.

The previous prime is 10211102212067. The next prime is 10211102212139. The reversal of 10211102212133 is 33121220111201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5916020050369 + 4295082161764 = 2432287^2 + 2072458^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211102212133 - 2¹⁰ = 10211102211109 is a prime.

It is a super-2 number, since 2×10211102212133² (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 (10211102212139) 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, 5105551106066 + 5105551106067.

It is an arithmetic number, because the mean of its divisors is an integer number (5105551106067).

Almost surely, 2^{10211102212133} is an apocalyptic number.

It is an amenable number.

10211102212133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211102212133 is an equidigital number, since it uses as much as digits as its factorization.

10211102212133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10211102212133 its reverse (33121220111201), we get a palindrome (43332322323334).

The spelling of 10211102212133 in words is "ten trillion, two hundred eleven billion, one hundred two million, two hundred twelve thousand, one hundred thirty-three".