21242100113 has 8 divisors (see below), whose sum is σ = 22940917608. Its totient is φ = 19552541184.

The previous prime is 21242100109. The next prime is 21242100127. The reversal of 21242100113 is 31100124212.

It can be written as a sum of positive squares in 4 ways, for example, as 5273228689 + 15968871424 = 72617^2 + 126368^2 .

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 21242100113 - 2² = 21242100109 is a prime.

It is a super-3 number, since 3×21242100113³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21242100091 and 21242100100.

It is not an unprimeable number, because it can be changed into a prime (21242100193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2309870 + ... + 2319047.

It is an arithmetic number, because the mean of its divisors is an integer number (2867614701).

Almost surely, 2^21242100113 is an apocalyptic number.

It is an amenable number.

21242100113 is a deficient number, since it is larger than the sum of its proper divisors (1698817495).

21242100113 is a wasteful number, since it uses less digits than its factorization.

21242100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629283.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 21242100113 its reverse (31100124212), we get a palindrome (52342224325).

The spelling of 21242100113 in words is "twenty-one billion, two hundred forty-two million, one hundred thousand, one hundred thirteen".