10221011022161 has 2 divisors, whose sum is σ = 10221011022162. Its totient is φ = 10221011022160.

The previous prime is 10221011022107. The next prime is 10221011022193. The reversal of 10221011022161 is 16122011012201.

10221011022161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9773876742400 + 447134279761 = 3126320^2 + 668681^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221011022161 - 2¹⁸ = 10221010760017 is a prime.

It is a super-3 number, since 3×10221011022161³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10221011042161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110505511080 + 5110505511081.

It is an arithmetic number, because the mean of its divisors is an integer number (5110505511081).

Almost surely, 2^{10221011022161} is an apocalyptic number.

It is an amenable number.

10221011022161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221011022161 is an equidigital number, since it uses as much as digits as its factorization.

10221011022161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 10221011022161 its reverse (16122011012201), we get a palindrome (26343022034362).

The spelling of 10221011022161 in words is "ten trillion, two hundred twenty-one billion, eleven million, twenty-two thousand, one hundred sixty-one".