222121000201801 has 2 divisors, whose sum is σ = 222121000201802. Its totient is φ = 222121000201800.

The previous prime is 222121000201781. The next prime is 222121000201819. The reversal of 222121000201801 is 108102000121222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222015960040000 + 105040161801 = 14900200^2 + 324099^2 .

It is a cyclic number.

It is not a de Polignac number, because 222121000201801 - 2⁷ = 222121000201673 is a prime.

It is a super-3 number, since 3×222121000201801³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (222121000204801) 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, 111060500100900 + 111060500100901.

It is an arithmetic number, because the mean of its divisors is an integer number (111060500100901).

Almost surely, 2^{222121000201801} is an apocalyptic number.

It is an amenable number.

222121000201801 is a deficient number, since it is larger than the sum of its proper divisors (1).

222121000201801 is an equidigital number, since it uses as much as digits as its factorization.

222121000201801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 22.

The spelling of 222121000201801 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two hundred one thousand, eight hundred one".