21120111111101 has 8 divisors (see below), whose sum is σ = 21331526184504. Its totient is φ = 20908741235200.

The previous prime is 21120111111049. The next prime is 21120111111131. The reversal of 21120111111101 is 10111111102112.

It can be written as a sum of positive squares in 4 ways, for example, as 5200817080900 + 15919294030201 = 2280530^2 + 3989899^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21120111111101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120111111131) 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, 10359740 + ... + 12229653.

It is an arithmetic number, because the mean of its divisors is an integer number (2666440773063).

Almost surely, 2^{21120111111101} is an apocalyptic number.

It is an amenable number.

21120111111101 is a deficient number, since it is larger than the sum of its proper divisors (211415073403).

21120111111101 is a wasteful number, since it uses less digits than its factorization.

21120111111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22598751.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 21120111111101 its reverse (10111111102112), we get a palindrome (31231222213213).

The spelling of 21120111111101 in words is "twenty-one trillion, one hundred twenty billion, one hundred eleven million, one hundred eleven thousand, one hundred one".