21112110100001 has 16 divisors (see below), whose sum is σ = 21213406578000. Its totient is φ = 21011074818048.

The previous prime is 21112110099991. The next prime is 21112110100033. The reversal of 21112110100001 is 10000101121112.

It can be written as a sum of positive squares in 8 ways, for example, as 6062551950625 + 15049558149376 = 2462225^2 + 3879376^2 .

It is a cyclic number.

It is not a de Polignac number, because 21112110100001 - 2⁶ = 21112110099937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21112110100091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567679115 + ... + 567716303.

It is an arithmetic number, because the mean of its divisors is an integer number (1325837911125).

Almost surely, 2^{21112110100001} is an apocalyptic number.

It is an amenable number.

21112110100001 is a deficient number, since it is larger than the sum of its proper divisors (101296477999).

21112110100001 is a wasteful number, since it uses less digits than its factorization.

21112110100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40628.

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

Adding to 21112110100001 its reverse (10000101121112), we get a palindrome (31112211221113).

The spelling of 21112110100001 in words is "twenty-one trillion, one hundred twelve billion, one hundred ten million, one hundred thousand, one".