102100222001873 has 2 divisors, whose sum is σ = 102100222001874. Its totient is φ = 102100222001872.

The previous prime is 102100222001837. The next prime is 102100222001881. The reversal of 102100222001873 is 378100222001201.

Together with previous prime (102100222001837) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94747485404224 + 7352736597649 = 9733832^2 + 2711593^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100222001873 - 2¹⁶ = 102100221936337 is a prime.

It is not a weakly prime, because it can be changed into another prime (102100222001273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050111000936 + 51050111000937.

It is an arithmetic number, because the mean of its divisors is an integer number (51050111000937).

Almost surely, 2^{102100222001873} is an apocalyptic number.

It is an amenable number.

102100222001873 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100222001873 is an equidigital number, since it uses as much as digits as its factorization.

102100222001873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 29.

The spelling of 102100222001873 in words is "one hundred two trillion, one hundred billion, two hundred twenty-two million, one thousand, eight hundred seventy-three".