2012101120 has 80 divisors (see below), whose sum is σ = 4896749088. Its totient is φ = 792760320.

The previous prime is 2012101109. The next prime is 2012101141. The reversal of 2012101120 is 211012102.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 2012101097 and 2012101106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165655 + ... + 177385.

Almost surely, 2^2012101120 is an apocalyptic number.

2012101120 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 2012101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448374544).

2012101120 is an abundant number, since it is smaller than the sum of its proper divisors (2884647968).

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

2012101120 is an equidigital number, since it uses as much as digits as its factorization.

2012101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11821 (or 11805 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2012101120 is about 44856.4501493375. The cubic root of 2012101120 is about 1262.4570180446.

Adding to 2012101120 its reverse (211012102), we get a palindrome (2223113222).

The spelling of 2012101120 in words is "two billion, twelve million, one hundred one thousand, one hundred twenty".