102133312123201 has 2 divisors, whose sum is σ = 102133312123202. Its totient is φ = 102133312123200.

The previous prime is 102133312123189. The next prime is 102133312123207. The reversal of 102133312123201 is 102321213331201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102044746958400 + 88565164801 = 10101720^2 + 297599^2 .

It is a cyclic number.

It is not a de Polignac number, because 102133312123201 - 2⁵ = 102133312123169 is a prime.

It is not a weakly prime, because it can be changed into another prime (102133312123207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066656061600 + 51066656061601.

It is an arithmetic number, because the mean of its divisors is an integer number (51066656061601).

Almost surely, 2^{102133312123201} is an apocalyptic number.

It is an amenable number.

102133312123201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133312123201 is an equidigital number, since it uses as much as digits as its factorization.

102133312123201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 102133312123201 its reverse (102321213331201), we get a palindrome (204454525454402).

The spelling of 102133312123201 in words is "one hundred two trillion, one hundred thirty-three billion, three hundred twelve million, one hundred twenty-three thousand, two hundred one".