100121220122201 has 16 divisors (see below), whose sum is σ = 101551663802064. Its totient is φ = 98698939858944.

The previous prime is 100121220122197. The next prime is 100121220122213. The reversal of 100121220122201 is 102221022121001.

It can be written as a sum of positive squares in 8 ways, for example, as 188508798976 + 99932711323225 = 434176^2 + 9996635^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121220122201 - 2² = 100121220122197 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 100121220122201.

It is not an unprimeable number, because it can be changed into a prime (100121220122221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626959301 + ... + 627118973.

It is an arithmetic number, because the mean of its divisors is an integer number (6346978987629).

Almost surely, 2^{100121220122201} is an apocalyptic number.

It is an amenable number.

100121220122201 is a deficient number, since it is larger than the sum of its proper divisors (1430443679863).

100121220122201 is a wasteful number, since it uses less digits than its factorization.

100121220122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185180.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100121220122201 its reverse (102221022121001), we get a palindrome (202342242243202).

The spelling of 100121220122201 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twenty-two thousand, two hundred one".