222112431112001 has 2 divisors, whose sum is σ = 222112431112002. Its totient is φ = 222112431112000.

The previous prime is 222112431111931. The next prime is 222112431112027. The reversal of 222112431112001 is 100211134211222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182619439032976 + 39492992079025 = 13513676^2 + 6284345^2 .

It is a cyclic number.

It is not a de Polignac number, because 222112431112001 - 2³⁴ = 222095251242817 is a prime.

It is not a weakly prime, because it can be changed into another prime (222112431112051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111056215556000 + 111056215556001.

It is an arithmetic number, because the mean of its divisors is an integer number (111056215556001).

Almost surely, 2^{222112431112001} is an apocalyptic number.

It is an amenable number.

222112431112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

222112431112001 is an equidigital number, since it uses as much as digits as its factorization.

222112431112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 222112431112001 its reverse (100211134211222), we get a palindrome (322323565323223).

The spelling of 222112431112001 in words is "two hundred twenty-two trillion, one hundred twelve billion, four hundred thirty-one million, one hundred twelve thousand, one".