10022100211133 has 2 divisors, whose sum is σ = 10022100211134. Its totient is φ = 10022100211132.

The previous prime is 10022100211117. The next prime is 10022100211187. The reversal of 10022100211133 is 33111200122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6672808579684 + 3349291631449 = 2583178^2 + 1830107^2 .

It is an emirp because it is prime and its reverse (33111200122001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10022100211133 - 2⁴ = 10022100211117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022100511133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011050105566 + 5011050105567.

It is an arithmetic number, because the mean of its divisors is an integer number (5011050105567).

Almost surely, 2^{10022100211133} is an apocalyptic number.

It is an amenable number.

10022100211133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022100211133 is an equidigital number, since it uses as much as digits as its factorization.

10022100211133 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 17.

Adding to 10022100211133 its reverse (33111200122001), we get a palindrome (43133300333134).

The spelling of 10022100211133 in words is "ten trillion, twenty-two billion, one hundred million, two hundred eleven thousand, one hundred thirty-three".