1101110012129 has 2 divisors, whose sum is σ = 1101110012130. Its totient is φ = 1101110012128.

The previous prime is 1101110012113. The next prime is 1101110012159. The reversal of 1101110012129 is 9212100111011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 773033083729 + 328076928400 = 879223^2 + 572780^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101110012129 - 2⁴ = 1101110012113 is a prime.

It is a super-2 number, since 2×1101110012129² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1101110012129.

It is not a weakly prime, because it can be changed into another prime (1101110012159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550555006064 + 550555006065.

It is an arithmetic number, because the mean of its divisors is an integer number (550555006065).

Almost surely, 2^{1101110012129} is an apocalyptic number.

It is an amenable number.

1101110012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101110012129 is an equidigital number, since it uses as much as digits as its factorization.

1101110012129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 1101110012129 in words is "one trillion, one hundred one billion, one hundred ten million, twelve thousand, one hundred twenty-nine".