102001032003 has 32 divisors (see below), whose sum is σ = 148707274240. Its totient is φ = 61810801920.

The previous prime is 102001031987. The next prime is 102001032061. The reversal of 102001032003 is 300230100201.

It is a happy number.

It is not a de Polignac number, because 102001032003 - 2⁴ = 102001031987 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102001032003.

It is not an unprimeable number, because it can be changed into a prime (102001032103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1768068 + ... + 1824846.

It is an arithmetic number, because the mean of its divisors is an integer number (4647102320).

Almost surely, 2^102001032003 is an apocalyptic number.

102001032003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102001032003 is a deficient number, since it is larger than the sum of its proper divisors (46706242237).

102001032003 is a wasteful number, since it uses less digits than its factorization.

102001032003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57499.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 102001032003 its reverse (300230100201), we get a palindrome (402231132204).

The spelling of 102001032003 in words is "one hundred two billion, one million, thirty-two thousand, three".