102122981 has 2 divisors, whose sum is σ = 102122982. Its totient is φ = 102122980.

The previous prime is 102122953. The next prime is 102123001. The reversal of 102122981 is 189221201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56776225 + 45346756 = 7535^2 + 6734^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102122981 is a prime.

It is a super-3 number, since 3×102122981³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102122981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102722981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51061490 + 51061491.

It is an arithmetic number, because the mean of its divisors is an integer number (51061491).

Almost surely, 2^102122981 is an apocalyptic number.

It is an amenable number.

102122981 is a deficient number, since it is larger than the sum of its proper divisors (1).

102122981 is an equidigital number, since it uses as much as digits as its factorization.

102122981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 102122981 is about 10105.5915710066. The cubic root of 102122981 is about 467.4205776982.

The spelling of 102122981 in words is "one hundred two million, one hundred twenty-two thousand, nine hundred eighty-one".