1010111202029 has 2 divisors, whose sum is σ = 1010111202030. Its totient is φ = 1010111202028.

The previous prime is 1010111202007. The next prime is 1010111202031. The reversal of 1010111202029 is 9202021110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 712184088100 + 297927113929 = 843910^2 + 545827^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010111202029 - 2²⁸ = 1009842766573 is a prime.

It is a Sophie Germain prime.

Together with 1010111202031, it forms a pair of twin primes.

It is a Chen 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 1010111202029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010111202049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055601014 + 505055601015.

It is an arithmetic number, because the mean of its divisors is an integer number (505055601015).

Almost surely, 2^{1010111202029} is an apocalyptic number.

It is an amenable number.

1010111202029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010111202029 is an equidigital number, since it uses as much as digits as its factorization.

1010111202029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 1010111202029 in words is "one trillion, ten billion, one hundred eleven million, two hundred two thousand, twenty-nine".