2011110122120 has 128 divisors (see below), whose sum is σ = 5054936388480. Its totient is φ = 713771520000.

The previous prime is 2011110122069. The next prime is 2011110122137. The reversal of 2011110122120 is 212210111102.

It is a junction number, because it is equal to n+sod(n) for n = 2011110122095 and 2011110122104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25711070 + ... + 25789170.

It is an arithmetic number, because the mean of its divisors is an integer number (39491690535).

Almost surely, 2^{2011110122120} is an apocalyptic number.

2011110122120 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 2011110122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527468194240).

2011110122120 is an abundant number, since it is smaller than the sum of its proper divisors (3043826266360).

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

2011110122120 is a wasteful number, since it uses less digits than its factorization.

2011110122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79527 (or 79523 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2011110122120 its reverse (212210111102), we get a palindrome (2223320233222).

The spelling of 2011110122120 in words is "two trillion, eleven billion, one hundred ten million, one hundred twenty-two thousand, one hundred twenty".