1001100102003 has 12 divisors (see below), whose sum is σ = 1479662166840. Its totient is φ = 651879135936.

The previous prime is 1001100101983. The next prime is 1001100102011. The reversal of 1001100102003 is 3002010011001.

It is not a de Polignac number, because 1001100102003 - 2¹⁷ = 1001099970931 is a prime.

It is a super-2 number, since 2×1001100102003² (a number of 25 digits) contains 22 as substring.

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 (1001100102043) 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, 1293410598 + ... + 1293411371.

It is an arithmetic number, because the mean of its divisors is an integer number (123305180570).

Almost surely, 2^{1001100102003} is an apocalyptic number.

1001100102003 is a deficient number, since it is larger than the sum of its proper divisors (478562064837).

1001100102003 is a wasteful number, since it uses less digits than its factorization.

1001100102003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586822018 (or 2586822015 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1001100102003 its reverse (3002010011001), we get a palindrome (4003110113004).

The spelling of 1001100102003 in words is "one trillion, one billion, one hundred million, one hundred two thousand, three".