123221122101 has 72 divisors (see below), whose sum is σ = 231867143872. Its totient is φ = 64010865600.

The previous prime is 123221122067. The next prime is 123221122109. The reversal of 123221122101 is 101221122321.

123221122101 is a `hidden beast` number, since 1 + 232 + 211 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 123221122101 - 2⁹ = 123221121589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123221122109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93520 + ... + 505161.

Almost surely, 2^123221122101 is an apocalyptic number.

123221122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123221122101 is a deficient number, since it is larger than the sum of its proper divisors (108646021771).

123221122101 is an equidigital number, since it uses as much as digits as its factorization.

123221122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598725 (or 598702 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 123221122101 its reverse (101221122321), we get a palindrome (224442244422).

The spelling of 123221122101 in words is "one hundred twenty-three billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred one".