21112101000011 has 12 divisors (see below), whose sum is σ = 24988809208272. Its totient is φ = 17472083581344.

The previous prime is 21112100999993. The next prime is 21112101000019. The reversal of 21112101000011 is 11000010121112.

It is not a de Polignac number, because 21112101000011 - 2⁶ = 21112100999947 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21112100999956 and 21112101000001.

It is not an unprimeable number, because it can be changed into a prime (21112101000019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1793106140 + ... + 1793117913.

It is an arithmetic number, because the mean of its divisors is an integer number (2082400767356).

Almost surely, 2^{21112101000011} is an apocalyptic number.

21112101000011 is a deficient number, since it is larger than the sum of its proper divisors (3876708208261).

21112101000011 is an equidigital number, since it uses as much as digits as its factorization.

21112101000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586224118 (or 3586224089 counting only the distinct ones).

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

Adding to 21112101000011 its reverse (11000010121112), we get a palindrome (32112111121123).

The spelling of 21112101000011 in words is "twenty-one trillion, one hundred twelve billion, one hundred one million, eleven", and thus it is an aban number.