111000111101029 has 2 divisors, whose sum is σ = 111000111101030. Its totient is φ = 111000111101028.

The previous prime is 111000111101027. The next prime is 111000111101051. The reversal of 111000111101029 is 920101111000111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93865288328100 + 17134822772929 = 9688410^2 + 4139423^2 .

It is an emirp because it is prime and its reverse (920101111000111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111000111101029 - 2¹ = 111000111101027 is a prime.

Together with 111000111101027, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 111000111100997 and 111000111101015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111000111101027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500055550514 + 55500055550515.

It is an arithmetic number, because the mean of its divisors is an integer number (55500055550515).

Almost surely, 2^{111000111101029} is an apocalyptic number.

It is an amenable number.

111000111101029 is a deficient number, since it is larger than the sum of its proper divisors (1).

111000111101029 is an equidigital number, since it uses as much as digits as its factorization.

111000111101029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 19.

The spelling of 111000111101029 in words is "one hundred eleven trillion, one hundred eleven million, one hundred one thousand, twenty-nine".