2120112101120 has 144 divisors (see below), whose sum is σ = 5470790855040. Its totient is φ = 782550269952.

The previous prime is 2120112101083. The next prime is 2120112101147. The reversal of 2120112101120 is 211012110212.

It is a super-2 number, since 2×2120112101120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2120112101095 and 2120112101104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54176921 + ... + 54216039.

It is an arithmetic number, because the mean of its divisors is an integer number (37991603160).

Almost surely, 2^{2120112101120} is an apocalyptic number.

2120112101120 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 2120112101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735395427520).

2120112101120 is an abundant number, since it is smaller than the sum of its proper divisors (3350678753920).

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

2120112101120 is a wasteful number, since it uses less digits than its factorization.

2120112101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42410 (or 42396 counting only the distinct ones).

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

Adding to 2120112101120 its reverse (211012110212), we get a palindrome (2331124211332).

The spelling of 2120112101120 in words is "two trillion, one hundred twenty billion, one hundred twelve million, one hundred one thousand, one hundred twenty".