22121100021017 has 2 divisors, whose sum is σ = 22121100021018. Its totient is φ = 22121100021016.

The previous prime is 22121100021001. The next prime is 22121100021071. The reversal of 22121100021017 is 71012000112122.

It is a happy number.

Together with next prime (22121100021071) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17886843152656 + 4234256868361 = 4229284^2 + 2057731^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121100021017 - 2⁴ = 22121100021001 is a prime.

It is a super-2 number, since 2×22121100021017² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22121100021017.

It is not a weakly prime, because it can be changed into another prime (22121100021617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060550010508 + 11060550010509.

It is an arithmetic number, because the mean of its divisors is an integer number (11060550010509).

Almost surely, 2^{22121100021017} is an apocalyptic number.

It is an amenable number.

22121100021017 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121100021017 is an equidigital number, since it uses as much as digits as its factorization.

22121100021017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 22121100021017 its reverse (71012000112122), we get a palindrome (93133100133139).

The spelling of 22121100021017 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred million, twenty-one thousand, seventeen".