121132200100121 has 24 divisors (see below), whose sum is σ = 144346889298024. Its totient is φ = 101294376529920.

The previous prime is 121132200100069. The next prime is 121132200100139. The reversal of 121132200100121 is 121001002231121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30120218499721 + 91011981600400 = 5488189^2 + 9540020^2 .

It is not a de Polignac number, because 121132200100121 - 2²² = 121132195905817 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 121132200100121.

It is not an unprimeable number, because it can be changed into a prime (121132200100621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400268561 + ... + 400571073.

It is an arithmetic number, because the mean of its divisors is an integer number (6014453720751).

Almost surely, 2^{121132200100121} is an apocalyptic number.

It is an amenable number.

121132200100121 is a deficient number, since it is larger than the sum of its proper divisors (23214689197903).

121132200100121 is a wasteful number, since it uses less digits than its factorization.

121132200100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501881 (or 501874 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 121132200100121 its reverse (121001002231121), we get a palindrome (242133202331242).

The spelling of 121132200100121 in words is "one hundred twenty-one trillion, one hundred thirty-two billion, two hundred million, one hundred thousand, one hundred twenty-one".