112100033 has 2 divisors, whose sum is σ = 112100034. Its totient is φ = 112100032.

The previous prime is 112099991. The next prime is 112100063. The reversal of 112100033 is 330001211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78552769 + 33547264 = 8863^2 + 5792^2 .

It is an emirp because it is prime and its reverse (330001211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112100033 - 2⁶ = 112099969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112099987 and 112100023.

It is not a weakly prime, because it can be changed into another prime (112100063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050016 + 56050017.

It is an arithmetic number, because the mean of its divisors is an integer number (56050017).

Almost surely, 2^112100033 is an apocalyptic number.

It is an amenable number.

112100033 is a deficient number, since it is larger than the sum of its proper divisors (1).

112100033 is an equidigital number, since it uses as much as digits as its factorization.

112100033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 112100033 is about 10587.7303044609. The cubic root of 112100033 is about 482.1719183225.

Adding to 112100033 its reverse (330001211), we get a palindrome (442101244).

The spelling of 112100033 in words is "one hundred twelve million, one hundred thousand, thirty-three".