21110000000001 has 64 divisors (see below), whose sum is σ = 32549122944000. Its totient is φ = 12035280672000.

The previous prime is 21109999999973. The next prime is 21110000000009. The reversal of 21110000000001 is 10000000001112.

It is not a de Polignac number, because 21110000000001 - 2¹⁵ = 21109999967233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21110000000009) 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 63 ways as a sum of consecutive naturals, for example, 297703651 + ... + 297774551.

It is an arithmetic number, because the mean of its divisors is an integer number (508580046000).

Almost surely, 2^{21110000000001} is an apocalyptic number.

It is an amenable number.

21110000000001 is a deficient number, since it is larger than the sum of its proper divisors (11439122943999).

21110000000001 is a wasteful number, since it uses less digits than its factorization.

21110000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74270.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 21110000000001 its reverse (10000000001112), we get a palindrome (31110000001113).

The spelling of 21110000000001 in words is "twenty-one trillion, one hundred ten billion, one", and thus it is an aban number.