2101121120 has 192 divisors, whose sum is σ = 6046742016. Its totient is φ = 673505280.

The previous prime is 2101121107. The next prime is 2101121129. The reversal of 2101121120 is 211211012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101121129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4017179 + ... + 4017701.

It is an arithmetic number, because the mean of its divisors is an integer number (31493448).

Almost surely, 2^2101121120 is an apocalyptic number.

2101121120 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 2101121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023371008).

2101121120 is an abundant number, since it is smaller than the sum of its proper divisors (3945620896).

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

2101121120 is a wasteful number, since it uses less digits than its factorization.

2101121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2101121120 is about 45837.9877394285. The cubic root of 2101121120 is about 1280.8070106226.

Adding to 2101121120 its reverse (211211012), we get a palindrome (2312332132).

The spelling of 2101121120 in words is "two billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty".