21101122110113 has 8 divisors (see below), whose sum is σ = 21106805572776. Its totient is φ = 21095439264000.

The previous prime is 21101122110067. The next prime is 21101122110119. The reversal of 21101122110113 is 31101122110112.

It can be written as a sum of positive squares in 4 ways, for example, as 10359779089 + 21090762331024 = 101783^2 + 4592468^2 .

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 21101122110113 - 2²⁸ = 21100853674657 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21101122110091 and 21101122110100.

It is not an unprimeable number, because it can be changed into a prime (21101122110119) 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, 72906995 + ... + 73195847.

It is an arithmetic number, because the mean of its divisors is an integer number (2638350696597).

Almost surely, 2^{21101122110113} is an apocalyptic number.

It is an amenable number.

21101122110113 is a deficient number, since it is larger than the sum of its proper divisors (5683462663).

21101122110113 is a wasteful number, since it uses less digits than its factorization.

21101122110113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308275.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 21101122110113 its reverse (31101122110112), we get a palindrome (52202244220225).

Subtracting 21101122110113 from its reverse (31101122110112), we obtain a palindrome (9999999999999).

The spelling of 21101122110113 in words is "twenty-one trillion, one hundred one billion, one hundred twenty-two million, one hundred ten thousand, one hundred thirteen".