21121200200113 has 12 divisors (see below), whose sum is σ = 23428711905228. Its totient is φ = 19020968279040.

The previous prime is 21121200200083. The next prime is 21121200200123. The reversal of 21121200200113 is 31100200212112.

It can be written as a sum of positive squares in 6 ways, for example, as 3067097223969 + 18054102976144 = 1751313^2 + 4249012^2 .

It is a de Polignac number, because none of the positive numbers 2^k-21121200200113 is a prime.

It is a super-2 number, since 2×21121200200113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21121200200123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1524109120 + ... + 1524122977.

It is an arithmetic number, because the mean of its divisors is an integer number (1952392658769).

Almost surely, 2^{21121200200113} is an apocalyptic number.

It is an amenable number.

21121200200113 is a deficient number, since it is larger than the sum of its proper divisors (2307511705115).

21121200200113 is a wasteful number, since it uses less digits than its factorization.

21121200200113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048232164 (or 3048232151 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 21121200200113 its reverse (31100200212112), we get a palindrome (52221400412225).

The spelling of 21121200200113 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred million, two hundred thousand, one hundred thirteen".