112121112001 has 2 divisors, whose sum is σ = 112121112002. Its totient is φ = 112121112000.

The previous prime is 112121111969. The next prime is 112121112007. The reversal of 112121112001 is 100211121211.

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., 86256753025 + 25864358976 = 293695^2 + 160824^2 .

It is a cyclic number.

It is not a de Polignac number, because 112121112001 - 2⁵ = 112121111969 is a prime.

It is a super-2 number, since 2×112121112001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112121112007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56060556000 + 56060556001.

It is an arithmetic number, because the mean of its divisors is an integer number (56060556001).

Almost surely, 2^112121112001 is an apocalyptic number.

It is an amenable number.

112121112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112121112001 is an equidigital number, since it uses as much as digits as its factorization.

112121112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112121112001 its reverse (100211121211), we get a palindrome (212332233212).

The spelling of 112121112001 in words is "one hundred twelve billion, one hundred twenty-one million, one hundred twelve thousand, one".