1001120001029 has 2 divisors, whose sum is σ = 1001120001030. Its totient is φ = 1001120001028.

The previous prime is 1001120000999. The next prime is 1001120001047. The reversal of 1001120001029 is 9201000211001.

1001120001029 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., 695344180129 + 305775820900 = 833873^2 + 552970^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001120001029 - 2²⁰ = 1001118952453 is a prime.

It is a super-2 number, since 2×1001120001029² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001120000998 and 1001120001016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001120001929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500560000514 + 500560000515.

It is an arithmetic number, because the mean of its divisors is an integer number (500560000515).

Almost surely, 2^{1001120001029} is an apocalyptic number.

It is an amenable number.

1001120001029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001120001029 is an equidigital number, since it uses as much as digits as its factorization.

1001120001029 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 17.

The spelling of 1001120001029 in words is "one trillion, one billion, one hundred twenty million, one thousand, twenty-nine".