122201101001121 has 8 divisors (see below), whose sum is σ = 163005366437760. Its totient is φ = 81432118115952.

The previous prime is 122201101001107. The next prime is 122201101001149. The reversal of 122201101001121 is 121100101102221.

It is a happy number.

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

It is not a de Polignac number, because 122201101001121 - 2⁹ = 122201101000609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122201101001121.

It is not an unprimeable number, because it can be changed into a prime (122201101001321) 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, 8820629785 + ... + 8820643638.

It is an arithmetic number, because the mean of its divisors is an integer number (20375670804720).

Almost surely, 2^{122201101001121} is an apocalyptic number.

It is an amenable number.

122201101001121 is a deficient number, since it is larger than the sum of its proper divisors (40804265436639).

122201101001121 is a wasteful number, since it uses less digits than its factorization.

122201101001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17641275735.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122201101001121 its reverse (121100101102221), we get a palindrome (243301202103342).

The spelling of 122201101001121 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred one million, one thousand, one hundred twenty-one".