21100101002221 has 8 divisors (see below), whose sum is σ = 21192891210720. Its totient is φ = 21007316446608.

The previous prime is 21100101002207. The next prime is 21100101002261. The reversal of 21100101002221 is 12220010100112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21100101002221 - 2⁹ = 21100101001709 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100101002261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6157410 + ... + 8950636.

It is an arithmetic number, because the mean of its divisors is an integer number (2649111401340).

Almost surely, 2^{21100101002221} is an apocalyptic number.

It is an amenable number.

21100101002221 is a deficient number, since it is larger than the sum of its proper divisors (92790208499).

21100101002221 is a wasteful number, since it uses less digits than its factorization.

21100101002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826443.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21100101002221 its reverse (12220010100112), we get a palindrome (33320111102333).

The spelling of 21100101002221 in words is "twenty-one trillion, one hundred billion, one hundred one million, two thousand, two hundred twenty-one".