100011111111029 has 2 divisors, whose sum is σ = 100011111111030. Its totient is φ = 100011111111028.

The previous prime is 100011111110993. The next prime is 100011111111053. The reversal of 100011111111029 is 920111111110001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98461920148804 + 1549190962225 = 9922798^2 + 1244665^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011111111029 - 2⁴⁴ = 82418925066613 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100011111111029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011111111829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005555555514 + 50005555555515.

It is an arithmetic number, because the mean of its divisors is an integer number (50005555555515).

Almost surely, 2^{100011111111029} is an apocalyptic number.

It is an amenable number.

100011111111029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011111111029 is an equidigital number, since it uses as much as digits as its factorization.

100011111111029 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 20.

The spelling of 100011111111029 in words is "one hundred trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, twenty-nine".