1002111029 has 2 divisors, whose sum is σ = 1002111030. Its totient is φ = 1002111028.

The previous prime is 1002111013. The next prime is 1002111031. The reversal of 1002111029 is 9201112001.

1002111029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 856908529 + 145202500 = 29273^2 + 12050^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002111029 - 2⁴ = 1002111013 is a prime.

Together with 1002111031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002110998 and 1002111016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002111049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501055514 + 501055515.

It is an arithmetic number, because the mean of its divisors is an integer number (501055515).

Almost surely, 2^1002111029 is an apocalyptic number.

It is an amenable number.

1002111029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002111029 is an equidigital number, since it uses as much as digits as its factorization.

1002111029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 1002111029 is about 31656.1373038468. The cubic root of 1002111029 is about 1000.7031817529.

The spelling of 1002111029 in words is "one billion, two million, one hundred eleven thousand, twenty-nine".