2011101120 has 252 divisors, whose sum is σ = 8047277784. Its totient is φ = 459648000.

The previous prime is 2011101119. The next prime is 2011101137. The reversal of 2011101120 is 211011102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133995 + ... + 148245.

It is an arithmetic number, because the mean of its divisors is an integer number (31933642).

Almost surely, 2^2011101120 is an apocalyptic number.

2011101120 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 2011101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023638892).

2011101120 is an abundant number, since it is smaller than the sum of its proper divisors (6036176664).

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

2011101120 is a wasteful number, since it uses less digits than its factorization.

2011101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14288 (or 14268 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2011101120 is about 44845.3020950913. The cubic root of 2011101120 is about 1262.2478393230.

Adding to 2011101120 its reverse (211011102), we get a palindrome (2222112222).

The spelling of 2011101120 in words is "two billion, eleven million, one hundred one thousand, one hundred twenty".