2001001111120 has 40 divisors (see below), whose sum is σ = 5075266456800. Its totient is φ = 727636767360.

The previous prime is 2001001111117. The next prime is 2001001111129. The reversal of 2001001111120 is 211111001002.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 2001001111097 and 2001001111106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001001111129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1136931570 + ... + 1136933329.

It is an arithmetic number, because the mean of its divisors is an integer number (126881661420).

Almost surely, 2^{2001001111120} is an apocalyptic number.

2001001111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001001111120 is an abundant number, since it is smaller than the sum of its proper divisors (3074265345680).

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

2001001111120 is a wasteful number, since it uses less digits than its factorization.

2001001111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273864923 (or 2273864917 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2001001111120 its reverse (211111001002), we get a palindrome (2212112112122).

The spelling of 2001001111120 in words is "two trillion, one billion, one million, one hundred eleven thousand, one hundred twenty".