120120001001029 has 2 divisors, whose sum is σ = 120120001001030. Its totient is φ = 120120001001028.

The previous prime is 120120001000997. The next prime is 120120001001047. The reversal of 120120001001029 is 920100100021021.

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., 119370264948900 + 749736052129 = 10925670^2 + 865873^2 .

It is a cyclic number.

It is not a de Polignac number, because 120120001001029 - 2⁵ = 120120001000997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120120001000997 and 120120001001015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120120001001089) 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, 60060000500514 + 60060000500515.

It is an arithmetic number, because the mean of its divisors is an integer number (60060000500515).

Almost surely, 2^{120120001001029} is an apocalyptic number.

It is an amenable number.

120120001001029 is a deficient number, since it is larger than the sum of its proper divisors (1).

120120001001029 is an equidigital number, since it uses as much as digits as its factorization.

120120001001029 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 19.

The spelling of 120120001001029 in words is "one hundred twenty trillion, one hundred twenty billion, one million, one thousand, twenty-nine".