2011011111120 has 160 divisors (see below), whose sum is σ = 6810033844224. Its totient is φ = 486861222400.

The previous prime is 2011011111079. The next prime is 2011011111143. The reversal of 2011011111120 is 211111101102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2011011111096 and 2011011111105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1448905 + ... + 2474135.

Almost surely, 2^{2011011111120} is an apocalyptic number.

2011011111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011011111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405016922112).

2011011111120 is an abundant number, since it is smaller than the sum of its proper divisors (4799022733104).

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

2011011111120 is a wasteful number, since it uses less digits than its factorization.

2011011111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026001 (or 1025995 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2011011111120 its reverse (211111101102), we get a palindrome (2222122212222).

The spelling of 2011011111120 in words is "two trillion, eleven billion, eleven million, one hundred eleven thousand, one hundred twenty".