21110112101 has 16 divisors (see below), whose sum is σ = 22802471664. Its totient is φ = 19427641344.

The previous prime is 21110112091. The next prime is 21110112109. The reversal of 21110112101 is 10121101112.

It can be written as a sum of positive squares in 8 ways, for example, as 1621672900 + 19488439201 = 40270^2 + 139601^2 .

It is a cyclic number.

It is not a de Polignac number, because 21110112101 - 2²² = 21105917797 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 (21110112109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7943765 + ... + 7946421.

It is an arithmetic number, because the mean of its divisors is an integer number (1425154479).

Almost surely, 2^21110112101 is an apocalyptic number.

It is an amenable number.

21110112101 is a deficient number, since it is larger than the sum of its proper divisors (1692359563).

21110112101 is a wasteful number, since it uses less digits than its factorization.

21110112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21110112101 its reverse (10121101112), we get a palindrome (31231213213).

It can be divided in two parts, 2111011 and 2101, that added together give a palindrome (2113112).

The spelling of 21110112101 in words is "twenty-one billion, one hundred ten million, one hundred twelve thousand, one hundred one".