2003100030100 has 90 divisors (see below), whose sum is σ = 4708948352374. Its totient is φ = 739605110400.

The previous prime is 2003100030089. The next prime is 2003100030179. The reversal of 2003100030100 is 10300013002.

It can be written as a sum of positive squares in 15 ways, for example, as 876691397124 + 1126408632976 = 936318^2 + 1061324^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2505430 + ... + 3206770.

Almost surely, 2^{2003100030100} is an apocalyptic number.

2003100030100 is a gapful number since it is divisible by the number (20) 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 2003100030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354474176187).

2003100030100 is an abundant number, since it is smaller than the sum of its proper divisors (2705848322274).

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

2003100030100 is an equidigital number, since it uses as much as digits as its factorization.

2003100030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701407 (or 701361 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 2003100030100 its reverse (10300013002), we get a palindrome (2013400043102).

The spelling of 2003100030100 in words is "two trillion, three billion, one hundred million, thirty thousand, one hundred".