202198112801 has 2 divisors, whose sum is σ = 202198112802. Its totient is φ = 202198112800.

The previous prime is 202198112789. The next prime is 202198112867. The reversal of 202198112801 is 108211891202.

202198112801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112587091600 + 89611021201 = 335540^2 + 299351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-202198112801 is a prime.

It is not a weakly prime, because it can be changed into another prime (202198117801) 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, 101099056400 + 101099056401.

It is an arithmetic number, because the mean of its divisors is an integer number (101099056401).

Almost surely, 2^202198112801 is an apocalyptic number.

It is an amenable number.

202198112801 is a deficient number, since it is larger than the sum of its proper divisors (1).

202198112801 is an equidigital number, since it uses as much as digits as its factorization.

202198112801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 35.

The spelling of 202198112801 in words is "two hundred two billion, one hundred ninety-eight million, one hundred twelve thousand, eight hundred one".