1111012012801 has 2 divisors, whose sum is σ = 1111012012802. Its totient is φ = 1111012012800.

The previous prime is 1111012012709. The next prime is 1111012012823. The reversal of 1111012012801 is 1082102101111.

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., 786903829776 + 324108183025 = 887076^2 + 569305^2 .

It is a cyclic number.

It is not a de Polignac number, because 1111012012801 - 2¹⁵ = 1111011980033 is a prime.

It is not a weakly prime, because it can be changed into another prime (1111012012871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555506006400 + 555506006401.

It is an arithmetic number, because the mean of its divisors is an integer number (555506006401).

Almost surely, 2^{1111012012801} is an apocalyptic number.

It is an amenable number.

1111012012801 is a deficient number, since it is larger than the sum of its proper divisors (1).

1111012012801 is an equidigital number, since it uses as much as digits as its factorization.

1111012012801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 1111012012801 its reverse (1082102101111), we get a palindrome (2193114113912).

The spelling of 1111012012801 in words is "one trillion, one hundred eleven billion, twelve million, twelve thousand, eight hundred one".