1002003100 has 72 divisors (see below), whose sum is σ = 2545649568. Its totient is φ = 335155200.

The previous prime is 1002003089. The next prime is 1002003127. The reversal of 1002003100 is 13002001.

It is a super-2 number, since 2×1002003100² = 2008020424819220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11244 + ... + 46156.

It is an arithmetic number, because the mean of its divisors is an integer number (35356244).

Almost surely, 2^1002003100 is an apocalyptic number.

1002003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272824784).

1002003100 is an abundant number, since it is smaller than the sum of its proper divisors (1543646468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002003100 is a wasteful number, since it uses less digits than its factorization.

1002003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34975 (or 34968 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1002003100 is about 31654.4325490128. The cubic root of 1002003100 is about 1000.6672546722.

Adding to 1002003100 its reverse (13002001), we get a palindrome (1015005101).

The spelling of 1002003100 in words is "one billion, two million, three thousand, one hundred".