2011010121120 has 1152 divisors, whose sum is σ = 8682656032512. Its totient is φ = 384594739200.

The previous prime is 2011010121089. The next prime is 2011010121209. The reversal of 2011010121120 is 211210101102.

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 = 2011010121096 and 2011010121105.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1550508312 + ... + 1550509608.

It is an arithmetic number, because the mean of its divisors is an integer number (7537027806).

Almost surely, 2^{2011010121120} is an apocalyptic number.

2011010121120 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 2011010121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341328016256).

2011010121120 is an abundant number, since it is smaller than the sum of its proper divisors (6671645911392).

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

2011010121120 is a wasteful number, since it uses less digits than its factorization.

2011010121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2011010121120 its reverse (211210101102), we get a palindrome (2222220222222).

The spelling of 2011010121120 in words is "two trillion, eleven billion, ten million, one hundred twenty-one thousand, one hundred twenty".