10221122081 has 2 divisors, whose sum is σ = 10221122082. Its totient is φ = 10221122080.

The previous prime is 10221121951. The next prime is 10221122111. The reversal of 10221122081 is 18022112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9371982481 + 849139600 = 96809^2 + 29140^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221122081 - 2¹⁸ = 10220859937 is a prime.

It is a super-2 number, since 2×10221122081² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10221122281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110561040 + 5110561041.

It is an arithmetic number, because the mean of its divisors is an integer number (5110561041).

Almost surely, 2^10221122081 is an apocalyptic number.

It is an amenable number.

10221122081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221122081 is an equidigital number, since it uses as much as digits as its factorization.

10221122081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10221122081 its reverse (18022112201), we get a palindrome (28243234282).

The spelling of 10221122081 in words is "ten billion, two hundred twenty-one million, one hundred twenty-two thousand, eighty-one".