1029385205201 has 8 divisors (see below), whose sum is σ = 1074151653120. Its totient is φ = 984619638112.

The previous prime is 1029385205179. The next prime is 1029385205203. The reversal of 1029385205201 is 1025025839201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1029385205201 - 2¹⁴ = 1029385188817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1029385205203) 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 in 7 ways as a sum of consecutive naturals, for example, 3519101 + ... + 3800373.

It is an arithmetic number, because the mean of its divisors is an integer number (134268956640).

Almost surely, 2^{1029385205201} is an apocalyptic number.

It is an amenable number.

1029385205201 is a deficient number, since it is larger than the sum of its proper divisors (44766447919).

1029385205201 is a wasteful number, since it uses less digits than its factorization.

1029385205201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440415.

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 1029385205201 in words is "one trillion, twenty-nine billion, three hundred eighty-five million, two hundred five thousand, two hundred one".