1112001331201 has 2 divisors, whose sum is σ = 1112001331202. Its totient is φ = 1112001331200.

The previous prime is 1112001331193. The next prime is 1112001331219. The reversal of 1112001331201 is 1021331002111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1038167399025 + 73833932176 = 1018905^2 + 271724^2 .

It is a cyclic number.

It is not a de Polignac number, because 1112001331201 - 2³ = 1112001331193 is a prime.

It is a super-2 number, since 2×1112001331201² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1112001361201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 556000665600 + 556000665601.

It is an arithmetic number, because the mean of its divisors is an integer number (556000665601).

Almost surely, 2^{1112001331201} is an apocalyptic number.

It is an amenable number.

1112001331201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1112001331201 is an equidigital number, since it uses as much as digits as its factorization.

1112001331201 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 1112001331201 its reverse (1021331002111), we get a palindrome (2133332333312).

It can be divided in two parts, 111200 and 1331201, that added together give a square (1442401 = 1201²).

The spelling of 1112001331201 in words is "one trillion, one hundred twelve billion, one million, three hundred thirty-one thousand, two hundred one".