221101021001017 has 2 divisors, whose sum is σ = 221101021001018. Its totient is φ = 221101021001016.

The previous prime is 221101021000999. The next prime is 221101021001153. The reversal of 221101021001017 is 710100120101122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219762716764816 + 1338304236201 = 14824396^2 + 1156851^2 .

It is a cyclic number.

It is not a de Polignac number, because 221101021001017 - 2¹⁹ = 221101020476729 is a prime.

It is a super-2 number, since 2×221101021001017² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221101021000985 and 221101021001003.

It is not a weakly prime, because it can be changed into another prime (221101021001717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110550510500508 + 110550510500509.

It is an arithmetic number, because the mean of its divisors is an integer number (110550510500509).

Almost surely, 2^{221101021001017} is an apocalyptic number.

It is an amenable number.

221101021001017 is a deficient number, since it is larger than the sum of its proper divisors (1).

221101021001017 is an equidigital number, since it uses as much as digits as its factorization.

221101021001017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 221101021001017 its reverse (710100120101122), we get a palindrome (931201141102139).

The spelling of 221101021001017 in words is "two hundred twenty-one trillion, one hundred one billion, twenty-one million, one thousand, seventeen".