101100111000029 has 2 divisors, whose sum is σ = 101100111000030. Its totient is φ = 101100111000028.

The previous prime is 101100111000013. The next prime is 101100111000191. The reversal of 101100111000029 is 920000111001101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72861196159129 + 28238914840900 = 8535877^2 + 5314030^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100111000029 - 2⁴ = 101100111000013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101100110999980 and 101100111000016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100111030029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550055500014 + 50550055500015.

It is an arithmetic number, because the mean of its divisors is an integer number (50550055500015).

Almost surely, 2^{101100111000029} is an apocalyptic number.

It is an amenable number.

101100111000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100111000029 is an equidigital number, since it uses as much as digits as its factorization.

101100111000029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 101100111000029 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, twenty-nine", and thus it is an aban number.