2101414100 has 36 divisors (see below), whose sum is σ = 4567887324. Its totient is φ = 839124480.

The previous prime is 2101414087. The next prime is 2101414109. The reversal of 2101414100 is 14141012.

It can be written as a sum of positive squares in 6 ways, for example, as 49505296 + 2051908804 = 7036^2 + 45298^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101414109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 41582 + ... + 77018.

It is an arithmetic number, because the mean of its divisors is an integer number (126885759).

Almost surely, 2^2101414100 is an apocalyptic number.

2101414100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101414100 is an abundant number, since it is smaller than the sum of its proper divisors (2466473224).

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

2101414100 is a wasteful number, since it uses less digits than its factorization.

2101414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36044 (or 36037 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2101414100 is about 45841.1834489469. The cubic root of 2101414100 is about 1280.8665396988.

Adding to 2101414100 its reverse (14141012), we get a palindrome (2115555112).

The spelling of 2101414100 in words is "two billion, one hundred one million, four hundred fourteen thousand, one hundred".