1012003332129 has 12 divisors (see below), whose sum is σ = 1489363395156. Its totient is φ = 661939286112.

The previous prime is 1012003332121. The next prime is 1012003332139. The reversal of 1012003332129 is 9212333002101.

1012003332129 is a `hidden beast` number, since 1 + 0 + 1 + 200 + 3 + 332 + 129 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 525078492129 + 486924840000 = 724623^2 + 697800^2 .

It is not a de Polignac number, because 1012003332129 - 2³ = 1012003332121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012003332121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1060799662 + ... + 1060800615.

It is an arithmetic number, because the mean of its divisors is an integer number (124113616263).

Almost surely, 2^{1012003332129} is an apocalyptic number.

It is an amenable number.

1012003332129 is a deficient number, since it is larger than the sum of its proper divisors (477360063027).

1012003332129 is a wasteful number, since it uses less digits than its factorization.

1012003332129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121600336 (or 2121600333 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 1012003332129 in words is "one trillion, twelve billion, three million, three hundred thirty-two thousand, one hundred twenty-nine".