21111100113 has 8 divisors (see below), whose sum is σ = 28149277248. Its totient is φ = 14073494864.

The previous prime is 21111100103. The next prime is 21111100117. The reversal of 21111100113 is 31100111112.

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 21111100113 - 2⁴ = 21111100097 is a prime.

It is a super-3 number, since 3×21111100113³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (21111100117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47781 + ... + 210962.

It is an arithmetic number, because the mean of its divisors is an integer number (3518659656).

Almost surely, 2^21111100113 is an apocalyptic number.

It is an amenable number.

21111100113 is a deficient number, since it is larger than the sum of its proper divisors (7038177135).

21111100113 is a wasteful number, since it uses less digits than its factorization.

21111100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285943.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 21111100113 its reverse (31100111112), we get a palindrome (52211211225).

The spelling of 21111100113 in words is "twenty-one billion, one hundred eleven million, one hundred thousand, one hundred thirteen".