111201121102129 has 2 divisors, whose sum is σ = 111201121102130. Its totient is φ = 111201121102128.

The previous prime is 111201121102091. The next prime is 111201121102163. The reversal of 111201121102129 is 921201121102111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88802861119729 + 22398259982400 = 9423527^2 + 4732680^2 .

It is a cyclic number.

It is not a de Polignac number, because 111201121102129 - 2¹¹ = 111201121100081 is a prime.

It is a super-3 number, since 3×111201121102129³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (111201121102199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55600560551064 + 55600560551065.

It is an arithmetic number, because the mean of its divisors is an integer number (55600560551065).

Almost surely, 2^{111201121102129} is an apocalyptic number.

It is an amenable number.

111201121102129 is a deficient number, since it is larger than the sum of its proper divisors (1).

111201121102129 is an equidigital number, since it uses as much as digits as its factorization.

111201121102129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 25.

The spelling of 111201121102129 in words is "one hundred eleven trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty-nine".