10221322126181 has 2 divisors, whose sum is σ = 10221322126182. Its totient is φ = 10221322126180.

The previous prime is 10221322126163. The next prime is 10221322126219. The reversal of 10221322126181 is 18162122312201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10200096550081 + 21225576100 = 3193759^2 + 145690^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221322126181 - 2⁶ = 10221322126117 is a prime.

It is a super-2 number, since 2×10221322126181² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221322126381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110661063090 + 5110661063091.

It is an arithmetic number, because the mean of its divisors is an integer number (5110661063091).

Almost surely, 2^{10221322126181} is an apocalyptic number.

It is an amenable number.

10221322126181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221322126181 is an equidigital number, since it uses as much as digits as its factorization.

10221322126181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 32.

Adding to 10221322126181 its reverse (18162122312201), we get a palindrome (28383444438382).

The spelling of 10221322126181 in words is "ten trillion, two hundred twenty-one billion, three hundred twenty-two million, one hundred twenty-six thousand, one hundred eighty-one".