2001100001120 has 96 divisors (see below), whose sum is σ = 5168521612800. Its totient is φ = 726100784640.

The previous prime is 2001100001113. The next prime is 2001100001149. The reversal of 2001100001120 is 211000011002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2001100001098 and 2001100001107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412970 + ... + 2042729.

It is an arithmetic number, because the mean of its divisors is an integer number (53838766800).

Almost surely, 2^{2001100001120} is an apocalyptic number.

2001100001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001100001120 is an abundant number, since it is smaller than the sum of its proper divisors (3167421611680).

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

2001100001120 is a wasteful number, since it uses less digits than its factorization.

2001100001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456188 (or 2456180 counting only the distinct ones).

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

Adding to 2001100001120 its reverse (211000011002), we get a palindrome (2212100012122).

The spelling of 2001100001120 in words is "two trillion, one billion, one hundred million, one thousand, one hundred twenty".