21101101010001 has 12 divisors (see below), whose sum is σ = 30496424314512. Its totient is φ = 14059528586136.

The previous prime is 21101101009991. The next prime is 21101101010009. The reversal of 21101101010001 is 10001010110112.

It is not a de Polignac number, because 21101101010001 - 2⁷ = 21101101009873 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (21101101010009) 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, 655990291 + ... + 656022456.

It is an arithmetic number, because the mean of its divisors is an integer number (2541368692876).

Almost surely, 2^{21101101010001} is an apocalyptic number.

It is an amenable number.

21101101010001 is a deficient number, since it is larger than the sum of its proper divisors (9395323304511).

21101101010001 is a wasteful number, since it uses less digits than its factorization.

21101101010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312014540 (or 1312014537 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 21101101010001 its reverse (10001010110112), we get a palindrome (31102111120113).

The spelling of 21101101010001 in words is "twenty-one trillion, one hundred one billion, one hundred one million, ten thousand, one".