2101414120 has 64 divisors (see below), whose sum is σ = 5096967120. Its totient is φ = 775133184.

The previous prime is 2101414109. The next prime is 2101414207. The reversal of 2101414120 is 214141012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 217680516 + 1883733604 = 14754^2 + 43402^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2101414094 and 2101414103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974964 + ... + 977116.

Almost surely, 2^2101414120 is an apocalyptic number.

2101414120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101414120 is an abundant number, since it is smaller than the sum of its proper divisors (2995553000).

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

2101414120 is a wasteful number, since it uses less digits than its factorization.

2101414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2101414120 is about 45841.1836670913. The cubic root of 2101414120 is about 1280.8665437623.

Adding to 2101414120 its reverse (214141012), we get a palindrome (2315555132).

The spelling of 2101414120 in words is "two billion, one hundred one million, four hundred fourteen thousand, one hundred twenty".