102102001801 has 2 divisors, whose sum is σ = 102102001802. Its totient is φ = 102102001800.

The previous prime is 102102001723. The next prime is 102102001847. The reversal of 102102001801 is 108100201201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59963765625 + 42138236176 = 244875^2 + 205276^2 .

It is an emirp because it is prime and its reverse (108100201201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102102001801 - 2¹⁷ = 102101870729 is a prime.

It is not a weakly prime, because it can be changed into another prime (102102001891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051000900 + 51051000901.

It is an arithmetic number, because the mean of its divisors is an integer number (51051000901).

Almost surely, 2^102102001801 is an apocalyptic number.

It is an amenable number.

102102001801 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102001801 is an equidigital number, since it uses as much as digits as its factorization.

102102001801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 102102001801 in words is "one hundred two billion, one hundred two million, one thousand, eight hundred one".