102200020081 has 2 divisors, whose sum is σ = 102200020082. Its totient is φ = 102200020080.

The previous prime is 102200020073. The next prime is 102200020157. The reversal of 102200020081 is 180020002201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99199171681 + 3000848400 = 314959^2 + 54780^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200020081 - 2³ = 102200020073 is a prime.

It is a super-2 number, since 2×102200020081² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102200020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100010040 + 51100010041.

It is an arithmetic number, because the mean of its divisors is an integer number (51100010041).

Almost surely, 2^102200020081 is an apocalyptic number.

It is an amenable number.

102200020081 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200020081 is an equidigital number, since it uses as much as digits as its factorization.

102200020081 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 16.

Adding to 102200020081 its reverse (180020002201), we get a palindrome (282220022282).

The spelling of 102200020081 in words is "one hundred two billion, two hundred million, twenty thousand, eighty-one".