21101012101101 has 16 divisors (see below), whose sum is σ = 28182505151808. Its totient is φ = 14043445920000.

The previous prime is 21101012101063. The next prime is 21101012101157. The reversal of 21101012101101 is 10110121010112.

It is not a de Polignac number, because 21101012101101 - 2³⁵ = 21066652362733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101012001101) 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, 3421861 + ... + 7342421.

It is an arithmetic number, because the mean of its divisors is an integer number (1761406571988).

Almost surely, 2^{21101012101101} is an apocalyptic number.

It is an amenable number.

21101012101101 is a deficient number, since it is larger than the sum of its proper divisors (7081493050707).

21101012101101 is a wasteful number, since it uses less digits than its factorization.

21101012101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923612.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 21101012101101 its reverse (10110121010112), we get a palindrome (31211133111213).

The spelling of 21101012101101 in words is "twenty-one trillion, one hundred one billion, twelve million, one hundred one thousand, one hundred one".