222302120100001 has 2 divisors, whose sum is σ = 222302120100002. Its totient is φ = 222302120100000.

The previous prime is 222302120099951. The next prime is 222302120100019. The reversal of 222302120100001 is 100001021203222.

It is a happy number.

222302120100001 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., 220004094526225 + 2298025573776 = 14832535^2 + 1515924^2 .

It is a cyclic number.

It is not a de Polignac number, because 222302120100001 - 2¹³ = 222302120091809 is a prime.

It is a super-3 number, since 3×222302120100001³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (222302120103001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111151060050000 + 111151060050001.

It is an arithmetic number, because the mean of its divisors is an integer number (111151060050001).

Almost surely, 2^{222302120100001} is an apocalyptic number.

It is an amenable number.

222302120100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

222302120100001 is an equidigital number, since it uses as much as digits as its factorization.

222302120100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 222302120100001 its reverse (100001021203222), we get a palindrome (322303141303223).

The spelling of 222302120100001 in words is "two hundred twenty-two trillion, three hundred two billion, one hundred twenty million, one hundred thousand, one".