112022101120133 has 2 divisors, whose sum is σ = 112022101120134. Its totient is φ = 112022101120132.

The previous prime is 112022101120063. The next prime is 112022101120151. The reversal of 112022101120133 is 331021101220211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105215752345729 + 6806348774404 = 10257473^2 + 2608898^2 .

It is a cyclic number.

It is not a de Polignac number, because 112022101120133 - 2³⁸ = 111747223213189 is a prime.

It is a super-2 number, since 2×112022101120133² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112022101120333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56011050560066 + 56011050560067.

It is an arithmetic number, because the mean of its divisors is an integer number (56011050560067).

Almost surely, 2^{112022101120133} is an apocalyptic number.

It is an amenable number.

112022101120133 is a deficient number, since it is larger than the sum of its proper divisors (1).

112022101120133 is an equidigital number, since it uses as much as digits as its factorization.

112022101120133 is an evil number, because the sum of its binary digits is even.

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

Adding to 112022101120133 its reverse (331021101220211), we get a palindrome (443043202340344).

The spelling of 112022101120133 in words is "one hundred twelve trillion, twenty-two billion, one hundred one million, one hundred twenty thousand, one hundred thirty-three".