101111010111029 has 2 divisors, whose sum is σ = 101111010111030. Its totient is φ = 101111010111028.

The previous prime is 101111010111011. The next prime is 101111010111031. The reversal of 101111010111029 is 920111010111101.

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., 85940779680625 + 15170230430404 = 9270425^2 + 3894898^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111010111029 is a prime.

Together with 101111010111031, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101111010111029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101114010111029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555505055514 + 50555505055515.

It is an arithmetic number, because the mean of its divisors is an integer number (50555505055515).

Almost surely, 2^{101111010111029} is an apocalyptic number.

It is an amenable number.

101111010111029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111010111029 is an equidigital number, since it uses as much as digits as its factorization.

101111010111029 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 101111010111029 in words is "one hundred one trillion, one hundred eleven billion, ten million, one hundred eleven thousand, twenty-nine".