10112121133 has 2 divisors, whose sum is σ = 10112121134. Its totient is φ = 10112121132.

The previous prime is 10112121109. The next prime is 10112121137. The reversal of 10112121133 is 33112121101.

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., 7338834889 + 2773286244 = 85667^2 + 52662^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10112121133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112121137) 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, 5056060566 + 5056060567.

It is an arithmetic number, because the mean of its divisors is an integer number (5056060567).

Almost surely, 2^10112121133 is an apocalyptic number.

It is an amenable number.

10112121133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112121133 is an equidigital number, since it uses as much as digits as its factorization.

10112121133 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 10112121133 its reverse (33112121101), we get a palindrome (43224242234).

The spelling of 10112121133 in words is "ten billion, one hundred twelve million, one hundred twenty-one thousand, one hundred thirty-three".