22210122112001 has 2 divisors, whose sum is σ = 22210122112002. Its totient is φ = 22210122112000.

The previous prime is 22210122111979. The next prime is 22210122112021. The reversal of 22210122112001 is 10021122101222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21765733221376 + 444388890625 = 4665376^2 + 666625^2 .

It is a cyclic number.

It is not a de Polignac number, because 22210122112001 - 2¹⁸ = 22210121849857 is a prime.

It is not a weakly prime, because it can be changed into another prime (22210122112021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11105061056000 + 11105061056001.

It is an arithmetic number, because the mean of its divisors is an integer number (11105061056001).

Almost surely, 2^{22210122112001} is an apocalyptic number.

It is an amenable number.

22210122112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22210122112001 is an equidigital number, since it uses as much as digits as its factorization.

22210122112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22210122112001 its reverse (10021122101222), we get a palindrome (32231244213223).

The spelling of 22210122112001 in words is "twenty-two trillion, two hundred ten billion, one hundred twenty-two million, one hundred twelve thousand, one".