2002600100 has 18 divisors (see below), whose sum is σ = 4345642434. Its totient is φ = 801040000.

The previous prime is 2002600069. The next prime is 2002600121. The reversal of 2002600100 is 10062002.

It can be written as a sum of positive squares in 3 ways, for example, as 574564 + 2002025536 = 758^2 + 44744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10012901 + ... + 10013100.

Almost surely, 2^2002600100 is an apocalyptic number.

2002600100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002600100 is an abundant number, since it is smaller than the sum of its proper divisors (2343042334).

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

2002600100 is a wasteful number, since it uses less digits than its factorization.

2002600100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20026015 (or 20026008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2002600100 is about 44750.4201097599. The cubic root of 2002600100 is about 1260.4668002492.

Adding to 2002600100 its reverse (10062002), we get a palindrome (2012662102).

The spelling of 2002600100 in words is "two billion, two million, six hundred thousand, one hundred".