102000032003 has 16 divisors (see below), whose sum is σ = 110869463040. Its totient is φ = 93482812800.

The previous prime is 102000031967. The next prime is 102000032021. The reversal of 102000032003 is 300230000201.

It is a cyclic number.

It is not a de Polignac number, because 102000032003 - 2²⁴ = 101983254787 is a prime.

It is a super-2 number, since 2×102000032003² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102000032033) 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 15 ways as a sum of consecutive naturals, for example, 1810526 + ... + 1866012.

It is an arithmetic number, because the mean of its divisors is an integer number (6929341440).

Almost surely, 2^102000032003 is an apocalyptic number.

102000032003 is a deficient number, since it is larger than the sum of its proper divisors (8869431037).

102000032003 is a wasteful number, since it uses less digits than its factorization.

102000032003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58658.

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 102000032003 its reverse (300230000201), we get a palindrome (402230032204).

The spelling of 102000032003 in words is "one hundred two billion, thirty-two thousand, three".