201121201200121 has 8 divisors (see below), whose sum is σ = 201145401510984. Its totient is φ = 201097001952000.

The previous prime is 201121201200047. The next prime is 201121201200137. The reversal of 201121201200121 is 121002102121102.

It can be written as a sum of positive squares in 4 ways, for example, as 825255966096 + 200295945234025 = 908436^2 + 14152595^2 .

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 201121201200121 - 2²⁹ = 201120664329209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201121201200095 and 201121201200104.

It is not an unprimeable number, because it can be changed into a prime (201121201209121) 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, 416994321 + ... + 417476353.

It is an arithmetic number, because the mean of its divisors is an integer number (25143175188873).

Almost surely, 2^{201121201200121} is an apocalyptic number.

It is an amenable number.

201121201200121 is a deficient number, since it is larger than the sum of its proper divisors (24200310863).

201121201200121 is a wasteful number, since it uses less digits than its factorization.

201121201200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531371.

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

Adding to 201121201200121 its reverse (121002102121102), we get a palindrome (322123303321223).

The spelling of 201121201200121 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred one million, two hundred thousand, one hundred twenty-one".