22121222101001 has 2 divisors, whose sum is σ = 22121222101002. Its totient is φ = 22121222101000.

The previous prime is 22121222100997. The next prime is 22121222101009. The reversal of 22121222101001 is 10010122212122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12070420011001 + 10050802090000 = 3474251^2 + 3170300^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121222101001 - 2² = 22121222100997 is a prime.

It is not a weakly prime, because it can be changed into another prime (22121222101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060611050500 + 11060611050501.

It is an arithmetic number, because the mean of its divisors is an integer number (11060611050501).

Almost surely, 2^{22121222101001} is an apocalyptic number.

It is an amenable number.

22121222101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121222101001 is an equidigital number, since it uses as much as digits as its factorization.

22121222101001 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 22121222101001 its reverse (10010122212122), we get a palindrome (32131344313123).

The spelling of 22121222101001 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred one thousand, one".