111100111101029 has 2 divisors, whose sum is σ = 111100111101030. Its totient is φ = 111100111101028.

The previous prime is 111100111100971. The next prime is 111100111101103. The reversal of 111100111101029 is 920101111001111.

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., 105517887396100 + 5582223704929 = 10272190^2 + 2362673^2 .

It is a cyclic number.

It is not a de Polignac number, because 111100111101029 - 2¹⁶ = 111100111035493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111100111101029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111100111101229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550055550514 + 55550055550515.

It is an arithmetic number, because the mean of its divisors is an integer number (55550055550515).

Almost surely, 2^{111100111101029} is an apocalyptic number.

It is an amenable number.

111100111101029 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100111101029 is an equidigital number, since it uses as much as digits as its factorization.

111100111101029 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 111100111101029 in words is "one hundred eleven trillion, one hundred billion, one hundred eleven million, one hundred one thousand, twenty-nine".