103311122012129 has 2 divisors, whose sum is σ = 103311122012130. Its totient is φ = 103311122012128.

The previous prime is 103311122012089. The next prime is 103311122012149. The reversal of 103311122012129 is 921210221113301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96220895100625 + 7090226911504 = 9809225^2 + 2662748^2 .

It is a cyclic number.

It is not a de Polignac number, because 103311122012129 - 2⁸ = 103311122011873 is a prime.

It is a super-2 number, since 2×103311122012129² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103311122012149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51655561006064 + 51655561006065.

It is an arithmetic number, because the mean of its divisors is an integer number (51655561006065).

Almost surely, 2^{103311122012129} is an apocalyptic number.

It is an amenable number.

103311122012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

103311122012129 is an equidigital number, since it uses as much as digits as its factorization.

103311122012129 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 29.

The spelling of 103311122012129 in words is "one hundred three trillion, three hundred eleven billion, one hundred twenty-two million, twelve thousand, one hundred twenty-nine".