111101110021129 has 2 divisors, whose sum is σ = 111101110021130. Its totient is φ = 111101110021128.

The previous prime is 111101110021093. The next prime is 111101110021157. The reversal of 111101110021129 is 921120011101111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102602252542729 + 8498857478400 = 10129277^2 + 2915280^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101110021129 - 2⁹ = 111101110020617 is a prime.

It is not a weakly prime, because it can be changed into another prime (111101110021159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550555010564 + 55550555010565.

It is an arithmetic number, because the mean of its divisors is an integer number (55550555010565).

Almost surely, 2^{111101110021129} is an apocalyptic number.

It is an amenable number.

111101110021129 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101110021129 is an equidigital number, since it uses as much as digits as its factorization.

111101110021129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 22.

The spelling of 111101110021129 in words is "one hundred eleven trillion, one hundred one billion, one hundred ten million, twenty-one thousand, one hundred twenty-nine".