102221201221101 has 24 divisors (see below), whose sum is σ = 149634355328640. Its totient is φ = 67236232383936.

The previous prime is 102221201221091. The next prime is 102221201221127. The reversal of 102221201221101 is 101122102122201.

102221201221101 is a `hidden beast` number, since 1 + 0 + 222 + 120 + 1 + 221 + 101 = 666.

It is not a de Polignac number, because 102221201221101 - 2²¹ = 102221199123949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221201241101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137444451 + ... + 138186176.

It is an arithmetic number, because the mean of its divisors is an integer number (6234764805360).

Almost surely, 2^{102221201221101} is an apocalyptic number.

It is an amenable number.

102221201221101 is a deficient number, since it is larger than the sum of its proper divisors (47413154107539).

102221201221101 is a wasteful number, since it uses less digits than its factorization.

102221201221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275631185 (or 275631182 counting only the distinct ones).

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

Adding to 102221201221101 its reverse (101122102122201), we get a palindrome (203343303343302).

The spelling of 102221201221101 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred one million, two hundred twenty-one thousand, one hundred one".