1001829201002 has 24 divisors (see below), whose sum is σ = 1748160559044. Its totient is φ = 429337974912.

The previous prime is 1001829200963. The next prime is 1001829201011. The reversal of 1001829201002 is 2001029281001.

It can be written as a sum of positive squares in 2 ways, for example, as 927578945881 + 74250255121 = 963109^2 + 272489^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2389058 + ... + 2776914.

Almost surely, 2^{1001829201002} is an apocalyptic number.

1001829201002 is a deficient number, since it is larger than the sum of its proper divisors (746331358042).

1001829201002 is a wasteful number, since it uses less digits than its factorization.

1001829201002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414230 (or 414223 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 1001829201002 in words is "one trillion, one billion, eight hundred twenty-nine million, two hundred one thousand, two".