102100013201 has 2 divisors, whose sum is σ = 102100013202. Its totient is φ = 102100013200.

The previous prime is 102100013189. The next prime is 102100013243. The reversal of 102100013201 is 102310001201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57384681601 + 44715331600 = 239551^2 + 211460^2 .

It is an emirp because it is prime and its reverse (102310001201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102100013201 - 2¹⁰ = 102100012177 is a prime.

It is not a weakly prime, because it can be changed into another prime (102100018201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050006600 + 51050006601.

It is an arithmetic number, because the mean of its divisors is an integer number (51050006601).

Almost surely, 2^102100013201 is an apocalyptic number.

It is an amenable number.

102100013201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100013201 is an equidigital number, since it uses as much as digits as its factorization.

102100013201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 102100013201 its reverse (102310001201), we get a palindrome (204410014402).

The spelling of 102100013201 in words is "one hundred two billion, one hundred million, thirteen thousand, two hundred one".