10221201100081 has 2 divisors, whose sum is σ = 10221201100082. Its totient is φ = 10221201100080.

The previous prime is 10221201100039. The next prime is 10221201100157. The reversal of 10221201100081 is 18000110212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10206363667600 + 14837432481 = 3194740^2 + 121809^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221201100081 - 2¹⁹ = 10221200575793 is a prime.

It is a super-2 number, since 2×10221201100081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10221201100001) 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, 5110600550040 + 5110600550041.

It is an arithmetic number, because the mean of its divisors is an integer number (5110600550041).

Almost surely, 2^{10221201100081} is an apocalyptic number.

It is an amenable number.

10221201100081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221201100081 is an equidigital number, since it uses as much as digits as its factorization.

10221201100081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 10221201100081 its reverse (18000110212201), we get a palindrome (28221311312282).

The spelling of 10221201100081 in words is "ten trillion, two hundred twenty-one billion, two hundred one million, one hundred thousand, eighty-one".