21110100101113 has 8 divisors (see below), whose sum is σ = 21630502042688. Its totient is φ = 20591037676944.

The previous prime is 21110100101011. The next prime is 21110100101131. The reversal of 21110100101113 is 31110100101112.

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-21110100101113 is a prime.

It is a super-2 number, since 2×21110100101113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21110100101093 and 21110100101102.

It is not an unprimeable number, because it can be changed into a prime (21110100101143) 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, 334847445 + ... + 334910482.

It is an arithmetic number, because the mean of its divisors is an integer number (2703812755336).

Almost surely, 2^{21110100101113} is an apocalyptic number.

It is an amenable number.

21110100101113 is a deficient number, since it is larger than the sum of its proper divisors (520401941575).

21110100101113 is an equidigital number, since it uses as much as digits as its factorization.

21110100101113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669758703.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 21110100101113 its reverse (31110100101112), we get a palindrome (52220200202225).

Subtracting 21110100101113 from its reverse (31110100101112), we obtain a palindrome (9999999999999).

The spelling of 21110100101113 in words is "twenty-one trillion, one hundred ten billion, one hundred million, one hundred one thousand, one hundred thirteen".