121122102222001 has 8 divisors (see below), whose sum is σ = 121216202063208. Its totient is φ = 121028038560000.

The previous prime is 121122102221977. The next prime is 121122102222101. The reversal of 121122102222001 is 100222201221121.

It can be written as a sum of positive squares in 4 ways, for example, as 36572679576225 + 84549422645776 = 6047535^2 + 9195076^2 .

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 121122102222001 - 2¹⁵ = 121122102189233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121122102222001.

It is not an unprimeable number, because it can be changed into a prime (121122102222101) 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, 2344600 + ... + 15739801.

It is an arithmetic number, because the mean of its divisors is an integer number (15152025257901).

Almost surely, 2^{121122102222001} is an apocalyptic number.

It is an amenable number.

121122102222001 is a deficient number, since it is larger than the sum of its proper divisors (94099841207).

121122102222001 is a wasteful number, since it uses less digits than its factorization.

121122102222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18089603.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 121122102222001 its reverse (100222201221121), we get a palindrome (221344303443122).

The spelling of 121122102222001 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty-two thousand, one".