102022221010081 has 2 divisors, whose sum is σ = 102022221010082. Its totient is φ = 102022221010080.

The previous prime is 102022221010009. The next prime is 102022221010159. The reversal of 102022221010081 is 180010122220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61643618309025 + 40378602701056 = 7851345^2 + 6354416^2 .

It is a cyclic number.

It is not a de Polignac number, because 102022221010081 - 2¹⁷ = 102022220879009 is a prime.

It is a super-2 number, since 2×102022221010081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102022221010001) 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, 51011110505040 + 51011110505041.

It is an arithmetic number, because the mean of its divisors is an integer number (51011110505041).

Almost surely, 2^{102022221010081} is an apocalyptic number.

It is an amenable number.

102022221010081 is a deficient number, since it is larger than the sum of its proper divisors (1).

102022221010081 is an equidigital number, since it uses as much as digits as its factorization.

102022221010081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 102022221010081 its reverse (180010122220201), we get a palindrome (282032343230282).

The spelling of 102022221010081 in words is "one hundred two trillion, twenty-two billion, two hundred twenty-one million, ten thousand, eighty-one".