21100022101101 has 32 divisors (see below), whose sum is σ = 30379953744000. Its totient is φ = 12977543393280.

The previous prime is 21100022101079. The next prime is 21100022101111. The reversal of 21100022101101 is 10110122000112.

It is not a de Polignac number, because 21100022101101 - 2⁵ = 21100022101069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100022101111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8996140 + ... + 11096421.

It is an arithmetic number, because the mean of its divisors is an integer number (949373554500).

Almost surely, 2^{21100022101101} is an apocalyptic number.

It is an amenable number.

21100022101101 is a deficient number, since it is larger than the sum of its proper divisors (9279931642899).

21100022101101 is a wasteful number, since it uses less digits than its factorization.

21100022101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20092989.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21100022101101 its reverse (10110122000112), we get a palindrome (31210144101213).

The spelling of 21100022101101 in words is "twenty-one trillion, one hundred billion, twenty-two million, one hundred one thousand, one hundred one".