2001102000100 has 144 divisors (see below), whose sum is σ = 5335078533120. Its totient is φ = 636152400000.

The previous prime is 2001101999957. The next prime is 2001102000167. The reversal of 2001102000100 is 10002011002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 975526 + ... + 2225725.

It is an arithmetic number, because the mean of its divisors is an integer number (37049156480).

Almost surely, 2^{2001102000100} is an apocalyptic number.

2001102000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001102000100 is an abundant number, since it is smaller than the sum of its proper divisors (3333976533020).

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

2001102000100 is a wasteful number, since it uses less digits than its factorization.

2001102000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201338 (or 3201331 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2001102000100 its reverse (10002011002), we get a palindrome (2011104011102).

The spelling of 2001102000100 in words is "two trillion, one billion, one hundred two million, one hundred", and thus it is an aban number.