21110100113 has 8 divisors (see below), whose sum is σ = 21505529760. Its totient is φ = 20715924960.

The previous prime is 21110100083. The next prime is 21110100133. The reversal of 21110100113 is 31100101112.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21110100113 - 2²⁴ = 21093322897 is a prime.

It is a super-2 number, since 2×21110100113² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21110100094 and 21110100103.

It is not an unprimeable number, because it can be changed into a prime (21110100133) 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 7 ways as a sum of consecutive naturals, for example, 279620 + ... + 346997.

It is an arithmetic number, because the mean of its divisors is an integer number (2688191220).

Almost surely, 2^21110100113 is an apocalyptic number.

It is an amenable number.

21110100113 is a deficient number, since it is larger than the sum of its proper divisors (395429647).

21110100113 is an equidigital number, since it uses as much as digits as its factorization.

21110100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627247.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 21110100113 its reverse (31100101112), we get a palindrome (52210201225).

Subtracting 21110100113 from its reverse (31100101112), we obtain a palindrome (9990000999).

The spelling of 21110100113 in words is "twenty-one billion, one hundred ten million, one hundred thousand, one hundred thirteen".