2101110120 has 192 divisors, whose sum is σ = 7053667920. Its totient is φ = 542011392.

The previous prime is 2101110103. The next prime is 2101110127. The reversal of 2101110120 is 210111012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1730393604 + 370716516 = 41598^2 + 19254^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2101110127) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3103222 + ... + 3103898.

Almost surely, 2^2101110120 is an apocalyptic number.

2101110120 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 2101110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526833960).

2101110120 is an abundant number, since it is smaller than the sum of its proper divisors (4952557800).

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

2101110120 is a wasteful number, since it uses less digits than its factorization.

2101110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 957 counting only the distinct ones).

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

The square root of 2101110120 is about 45837.8677514563. The cubic root of 2101110120 is about 1280.8047754823.

Adding to 2101110120 its reverse (210111012), we get a palindrome (2311221132).

The spelling of 2101110120 in words is "two billion, one hundred one million, one hundred ten thousand, one hundred twenty".