1002020100003 has 24 divisors (see below), whose sum is σ = 1559022392928. Its totient is φ = 616499396352.

The previous prime is 1002020099939. The next prime is 1002020100017. The reversal of 1002020100003 is 3000010202001.

It is a happy number.

It is not a de Polignac number, because 1002020100003 - 2⁶ = 1002020099939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1002020100043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325375 + ... + 1452552.

It is an arithmetic number, because the mean of its divisors is an integer number (64959266372).

Almost surely, 2^{1002020100003} is an apocalyptic number.

1002020100003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1002020100003 is a deficient number, since it is larger than the sum of its proper divisors (557002292925).

1002020100003 is a wasteful number, since it uses less digits than its factorization.

1002020100003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782763 (or 1782760 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1002020100003 its reverse (3000010202001), we get a palindrome (4002030302004).

The spelling of 1002020100003 in words is "one trillion, two billion, twenty million, one hundred thousand, three".