2121100113 has 24 divisors (see below), whose sum is σ = 3159603328. Its totient is φ = 1264428000.

The previous prime is 2121100103. The next prime is 2121100117. The reversal of 2121100113 is 3110011212.

It is not a de Polignac number, because 2121100113 - 2⁴ = 2121100097 is a prime.

It is a super-2 number, since 2×2121100113² = 8998131378737225538, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (2121100117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25753 + ... + 70038.

Almost surely, 2^2121100113 is an apocalyptic number.

It is an amenable number.

2121100113 is a deficient number, since it is larger than the sum of its proper divisors (1038503215).

2121100113 is a wasteful number, since it uses less digits than its factorization.

2121100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95877 (or 95866 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 2121100113 is about 46055.4026472465. The cubic root of 2121100113 is about 1284.8538268326.

Adding to 2121100113 its reverse (3110011212), we get a palindrome (5231111325).

The spelling of 2121100113 in words is "two billion, one hundred twenty-one million, one hundred thousand, one hundred thirteen".