330100222231121 has 2 divisors, whose sum is σ = 330100222231122. Its totient is φ = 330100222231120.

The previous prime is 330100222231069. The next prime is 330100222231123. The reversal of 330100222231121 is 121132222001033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 330027680888896 + 72541342225 = 18166664^2 + 269335^2 .

It is a cyclic number.

It is not a de Polignac number, because 330100222231121 - 2¹⁸ = 330100221968977 is a prime.

It is a super-2 number, since 2×330100222231121² (a number of 30 digits) contains 22 as substring.

Together with 330100222231123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (330100222231123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165050111115560 + 165050111115561.

It is an arithmetic number, because the mean of its divisors is an integer number (165050111115561).

Almost surely, 2^{330100222231121} is an apocalyptic number.

It is an amenable number.

330100222231121 is a deficient number, since it is larger than the sum of its proper divisors (1).

330100222231121 is an equidigital number, since it uses as much as digits as its factorization.

330100222231121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 330100222231121 its reverse (121132222001033), we get a palindrome (451232444232154).

The spelling of 330100222231121 in words is "three hundred thirty trillion, one hundred billion, two hundred twenty-two million, two hundred thirty-one thousand, one hundred twenty-one".