1001110112029 has 2 divisors, whose sum is σ = 1001110112030. Its totient is φ = 1001110112028.

The previous prime is 1001110112027. The next prime is 1001110112077. The reversal of 1001110112029 is 9202110111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 982804563225 + 18305548804 = 991365^2 + 135298^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001110112029 - 2¹ = 1001110112027 is a prime.

It is a super-3 number, since 3×1001110112029³ (a number of 37 digits) contains 333 as substring.

Together with 1001110112027, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1001110111997 and 1001110112015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001110112027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500555056014 + 500555056015.

It is an arithmetic number, because the mean of its divisors is an integer number (500555056015).

Almost surely, 2^{1001110112029} is an apocalyptic number.

It is an amenable number.

1001110112029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001110112029 is an equidigital number, since it uses as much as digits as its factorization.

1001110112029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 1001110112029 in words is "one trillion, one billion, one hundred ten million, one hundred twelve thousand, twenty-nine".