10211112001133 has 2 divisors, whose sum is σ = 10211112001134. Its totient is φ = 10211112001132.

The previous prime is 10211112001099. The next prime is 10211112001169. The reversal of 10211112001133 is 33110021111201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7436845335364 + 2774266665769 = 2727058^2 + 1665613^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211112001133 - 2¹⁶ = 10211111935597 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10211112001033) 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, 5105556000566 + 5105556000567.

It is an arithmetic number, because the mean of its divisors is an integer number (5105556000567).

Almost surely, 2^{10211112001133} is an apocalyptic number.

It is an amenable number.

10211112001133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211112001133 is an equidigital number, since it uses as much as digits as its factorization.

10211112001133 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 17.

Adding to 10211112001133 its reverse (33110021111201), we get a palindrome (43321133112334).

The spelling of 10211112001133 in words is "ten trillion, two hundred eleven billion, one hundred twelve million, one thousand, one hundred thirty-three".