122001101222101 has 8 divisors (see below), whose sum is σ = 122056544274840. Its totient is φ = 121945670773248.

The previous prime is 122001101222083. The next prime is 122001101222111. The reversal of 122001101222101 is 101222101100221.

It can be written as a sum of positive squares in 4 ways, for example, as 12998000615076 + 109003100607025 = 3605274^2 + 10440455^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122001101222101 - 2¹⁷ = 122001101091029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001101222111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16239805 + ... + 22532941.

It is an arithmetic number, because the mean of its divisors is an integer number (15257068034355).

Almost surely, 2^{122001101222101} is an apocalyptic number.

It is an amenable number.

122001101222101 is a deficient number, since it is larger than the sum of its proper divisors (55443052739).

122001101222101 is an equidigital number, since it uses as much as digits as its factorization.

122001101222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6301943.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122001101222101 its reverse (101222101100221), we get a palindrome (223223202322322).

The spelling of 122001101222101 in words is "one hundred twenty-two trillion, one billion, one hundred one million, two hundred twenty-two thousand, one hundred one".