21211022011177 has 2 divisors, whose sum is σ = 21211022011178. Its totient is φ = 21211022011176.

The previous prime is 21211022011139. The next prime is 21211022011301. The reversal of 21211022011177 is 77111022011212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16368465273616 + 4842556737561 = 4045796^2 + 2200581^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21211022011177 is a prime.

It is not a weakly prime, because it can be changed into another prime (21211022011877) 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, 10605511005588 + 10605511005589.

It is an arithmetic number, because the mean of its divisors is an integer number (10605511005589).

Almost surely, 2^{21211022011177} is an apocalyptic number.

It is an amenable number.

21211022011177 is a deficient number, since it is larger than the sum of its proper divisors (1).

21211022011177 is an equidigital number, since it uses as much as digits as its factorization.

21211022011177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 28.

Adding to 21211022011177 its reverse (77111022011212), we get a palindrome (98322044022389).

The spelling of 21211022011177 in words is "twenty-one trillion, two hundred eleven billion, twenty-two million, eleven thousand, one hundred seventy-seven".