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222122012002001 is a prime number
BaseRepresentation
bin110010100000010011001111…
…100111110100011011010001
31002010110122201221001022120022
4302200103033213310123101
5213103221340033031001
62104225235453153225
764533533344630106
oct6240231747643321
91063418657038508
10222122012002001
1164858464080161
1220ab489848b815
1396c3028aab567
143cbca96d78aad
151aa2d8383c11b
hexca04cf9f46d1

222122012002001 has 2 divisors, whose sum is σ = 222122012002002. Its totient is φ = 222122012002000.

The previous prime is 222122012001997. The next prime is 222122012002013. The reversal of 222122012002001 is 100200210221222.

It is a happy number.

222122012002001 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., 136791714248401 + 85330297753600 = 11695799^2 + 9237440^2 .

It is a cyclic number.

It is not a de Polignac number, because 222122012002001 - 22 = 222122012001997 is a prime.

It is not a weakly prime, because it can be changed into another prime (222122012002021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111061006001000 + 111061006001001.

It is an arithmetic number, because the mean of its divisors is an integer number (111061006001001).

Almost surely, 2222122012002001 is an apocalyptic number.

It is an amenable number.

222122012002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

222122012002001 is an equidigital number, since it uses as much as digits as its factorization.

222122012002001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222122012002001 its reverse (100200210221222), we get a palindrome (322322222223223).

The spelling of 222122012002001 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, twelve million, two thousand, one".