22121121020177 has 2 divisors, whose sum is σ = 22121121020178. Its totient is φ = 22121121020176.

The previous prime is 22121121020171. The next prime is 22121121020213. The reversal of 22121121020177 is 77102012112122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18906878025616 + 3214242994561 = 4348204^2 + 1792831^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121121020177 - 2⁶ = 22121121020113 is a prime.

It is a super-2 number, since 2×22121121020177² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22121121020171) 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, 11060560510088 + 11060560510089.

It is an arithmetic number, because the mean of its divisors is an integer number (11060560510089).

Almost surely, 2^{22121121020177} is an apocalyptic number.

It is an amenable number.

22121121020177 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121121020177 is an equidigital number, since it uses as much as digits as its factorization.

22121121020177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1568, while the sum is 29.

Adding to 22121121020177 its reverse (77102012112122), we get a palindrome (99223133132299).

The spelling of 22121121020177 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty-one million, twenty thousand, one hundred seventy-seven".