112001021000801 has 2 divisors, whose sum is σ = 112001021000802. Its totient is φ = 112001021000800.

The previous prime is 112001021000777. The next prime is 112001021000833. The reversal of 112001021000801 is 108000120100211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111856027592401 + 144993408400 = 10576201^2 + 380780^2 .

It is an emirp because it is prime and its reverse (108000120100211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112001021000801 - 2¹⁴ = 112001020984417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112001021000801.

It is not a weakly prime, because it can be changed into another prime (112001021000851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56000510500400 + 56000510500401.

It is an arithmetic number, because the mean of its divisors is an integer number (56000510500401).

Almost surely, 2^{112001021000801} is an apocalyptic number.

It is an amenable number.

112001021000801 is a deficient number, since it is larger than the sum of its proper divisors (1).

112001021000801 is an equidigital number, since it uses as much as digits as its factorization.

112001021000801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

The spelling of 112001021000801 in words is "one hundred twelve trillion, one billion, twenty-one million, eight hundred one", and thus it is an aban number.