221100122101 has 16 divisors (see below), whose sum is σ = 235534231296. Its totient is φ = 207083658496.

The previous prime is 221100122077. The next prime is 221100122167. The reversal of 221100122101 is 101221001122.

It is a cyclic number.

It is not a de Polignac number, because 221100122101 - 2⁹ = 221100121589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221100122501) 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 15 ways as a sum of consecutive naturals, for example, 432861 + ... + 793453.

It is an arithmetic number, because the mean of its divisors is an integer number (14720889456).

Almost surely, 2^221100122101 is an apocalyptic number.

It is an amenable number.

221100122101 is a deficient number, since it is larger than the sum of its proper divisors (14434109195).

221100122101 is a wasteful number, since it uses less digits than its factorization.

221100122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361172.

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

Adding to 221100122101 its reverse (101221001122), we get a palindrome (322321123223).

The spelling of 221100122101 in words is "two hundred twenty-one billion, one hundred million, one hundred twenty-two thousand, one hundred one".