112121021221133 has 2 divisors, whose sum is σ = 112121021221134. Its totient is φ = 112121021221132.

The previous prime is 112121021221081. The next prime is 112121021221163. The reversal of 112121021221133 is 331122120121211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108401685261769 + 3719335959364 = 10411613^2 + 1928558^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112121021221133 is a prime.

It is a super-2 number, since 2×112121021221133² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112121021221099 and 112121021221108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112121021221163) 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, 56060510610566 + 56060510610567.

It is an arithmetic number, because the mean of its divisors is an integer number (56060510610567).

Almost surely, 2^{112121021221133} is an apocalyptic number.

It is an amenable number.

112121021221133 is a deficient number, since it is larger than the sum of its proper divisors (1).

112121021221133 is an equidigital number, since it uses as much as digits as its factorization.

112121021221133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 112121021221133 its reverse (331122120121211), we get a palindrome (443243141342344).

The spelling of 112121021221133 in words is "one hundred twelve trillion, one hundred twenty-one billion, twenty-one million, two hundred twenty-one thousand, one hundred thirty-three".