21100112000001 has 12 divisors (see below), whose sum is σ = 30895445577828. Its totient is φ = 13874046246144.

The previous prime is 21100111999997. The next prime is 21100112000003. The reversal of 21100112000001 is 10000021100112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14179924109376 + 6920187890625 = 3765624^2 + 2630625^2 .

It is not a de Polignac number, because 21100112000001 - 2² = 21100111999997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21100112000003) 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, 16057923240 + ... + 16057924553.

It is an arithmetic number, because the mean of its divisors is an integer number (2574620464819).

Almost surely, 2^{21100112000001} is an apocalyptic number.

It is an amenable number.

21100112000001 is a deficient number, since it is larger than the sum of its proper divisors (9795333577827).

21100112000001 is a wasteful number, since it uses less digits than its factorization.

21100112000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32115847872 (or 32115847869 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21100112000001 its reverse (10000021100112), we get a palindrome (31100133100113).

The spelling of 21100112000001 in words is "twenty-one trillion, one hundred billion, one hundred twelve million, one", and thus it is an aban number.