102133300011121 has 2 divisors, whose sum is σ = 102133300011122. Its totient is φ = 102133300011120.

The previous prime is 102133300011047. The next prime is 102133300011139. The reversal of 102133300011121 is 121110003331201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98675634140721 + 3457665870400 = 9933561^2 + 1859480^2 .

It is a cyclic number.

It is not a de Polignac number, because 102133300011121 - 2⁷ = 102133300010993 is a prime.

It is a super-3 number, since 3×102133300011121³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (102133300011521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066650005560 + 51066650005561.

It is an arithmetic number, because the mean of its divisors is an integer number (51066650005561).

Almost surely, 2^{102133300011121} is an apocalyptic number.

It is an amenable number.

102133300011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133300011121 is an equidigital number, since it uses as much as digits as its factorization.

102133300011121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 102133300011121 its reverse (121110003331201), we get a palindrome (223243303342322).

The spelling of 102133300011121 in words is "one hundred two trillion, one hundred thirty-three billion, three hundred million, eleven thousand, one hundred twenty-one".