221110122202101 has 32 divisors (see below), whose sum is σ = 357413066265600. Its totient is φ = 133982369486640.

The previous prime is 221110122202091. The next prime is 221110122202111. The reversal of 221110122202101 is 101202221011122.

221110122202101 is a `hidden beast` number, since 2 + 211 + 10 + 12 + 220 + 210 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (221110122202091) and next prime (221110122202111).

It is not a de Polignac number, because 221110122202101 - 2⁶ = 221110122202037 is a prime.

It is a super-2 number, since 2×221110122202101² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221110122202111) 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, 64336791 + ... + 67686356.

It is an arithmetic number, because the mean of its divisors is an integer number (11169158320800).

Almost surely, 2^{221110122202101} is an apocalyptic number.

It is an amenable number.

221110122202101 is a deficient number, since it is larger than the sum of its proper divisors (136302944063499).

221110122202101 is a wasteful number, since it uses less digits than its factorization.

221110122202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132028806 (or 132028800 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221110122202101 its reverse (101202221011122), we get a palindrome (322312343213223).

The spelling of 221110122202101 in words is "two hundred twenty-one trillion, one hundred ten billion, one hundred twenty-two million, two hundred two thousand, one hundred one".