2110101120 has 192 divisors, whose sum is σ = 7484129640. Its totient is φ = 547430400.

The previous prime is 2110101109. The next prime is 2110101131. The reversal of 2110101120 is 211010112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2110101109) and next prime (2110101131).

It can be written as a sum of positive squares in 4 ways, for example, as 2103506496 + 6594624 = 45864^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208170 + ... + 218070.

Almost surely, 2^2110101120 is an apocalyptic number.

2110101120 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 2110101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742064820).

2110101120 is an abundant number, since it is smaller than the sum of its proper divisors (5374028520).

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

2110101120 is a wasteful number, since it uses less digits than its factorization.

2110101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9963 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2110101120 is about 45935.8369903064. The cubic root of 2110101120 is about 1282.6291013751.

Adding to 2110101120 its reverse (211010112), we get a palindrome (2321111232).

The spelling of 2110101120 in words is "two billion, one hundred ten million, one hundred one thousand, one hundred twenty".