221110012111101 has 384 divisors, whose sum is σ = 352112313434112. Its totient is φ = 122800084992000.

The previous prime is 221110012111099. The next prime is 221110012111123. The reversal of 221110012111101 is 101111210011122.

It is not a de Polignac number, because 221110012111101 - 2¹ = 221110012111099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221110012111601) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 815904103596 + ... + 815904103866.

It is an arithmetic number, because the mean of its divisors is an integer number (916959149568).

Almost surely, 2^{221110012111101} is an apocalyptic number.

It is an amenable number.

221110012111101 is a deficient number, since it is larger than the sum of its proper divisors (131002301323011).

221110012111101 is a wasteful number, since it uses less digits than its factorization.

221110012111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 221110012111101 its reverse (101111210011122), we get a palindrome (322221222122223).

The spelling of 221110012111101 in words is "two hundred twenty-one trillion, one hundred ten billion, twelve million, one hundred eleven thousand, one hundred one".