1002011002100 has 36 divisors (see below), whose sum is σ = 2174550965664. Its totient is φ = 400769914080.

The previous prime is 1002011002099. The next prime is 1002011002117. The reversal of 1002011002100 is 12001102001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 753107 + ... + 1603493.

Almost surely, 2^{1002011002100} is an apocalyptic number.

1002011002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002011002100 is an abundant number, since it is smaller than the sum of its proper divisors (1172539963564).

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

1002011002100 is a wasteful number, since it uses less digits than its factorization.

1002011002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862184 (or 862177 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1002011002100 its reverse (12001102001), we get a palindrome (1014012104101).

Subtracting from 1002011002100 its reverse (12001102001), we obtain a palindrome (990009900099).

The spelling of 1002011002100 in words is "one trillion, two billion, eleven million, two thousand, one hundred".