202212416401 has 2 divisors, whose sum is σ = 202212416402. Its totient is φ = 202212416400.

The previous prime is 202212416309. The next prime is 202212416429. The reversal of 202212416401 is 104614212202.

202212416401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133122819600 + 69089596801 = 364860^2 + 262849^2 .

It is a cyclic number.

It is not a de Polignac number, because 202212416401 - 2¹¹ = 202212414353 is a prime.

It is a super-2 number, since 2×202212416401² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (202212414401) 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, 101106208200 + 101106208201.

It is an arithmetic number, because the mean of its divisors is an integer number (101106208201).

Almost surely, 2^202212416401 is an apocalyptic number.

It is an amenable number.

202212416401 is a deficient number, since it is larger than the sum of its proper divisors (1).

202212416401 is an equidigital number, since it uses as much as digits as its factorization.

202212416401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 202212416401 its reverse (104614212202), we get a palindrome (306826628603).

The spelling of 202212416401 in words is "two hundred two billion, two hundred twelve million, four hundred sixteen thousand, four hundred one".