201221211000121 has 16 divisors (see below), whose sum is σ = 218751012973584. Its totient is φ = 183986452629504.

The previous prime is 201221211000101. The next prime is 201221211000127. The reversal of 201221211000121 is 121000112122102.

It can be written as a sum of positive squares in 8 ways, for example, as 101708515884096 + 99512695116025 = 10085064^2 + 9975605^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201221211000121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201221211000095 and 201221211000104.

It is not an unprimeable number, because it can be changed into a prime (201221211000127) 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, 39433476 + ... + 44242981.

It is an arithmetic number, because the mean of its divisors is an integer number (13671938310849).

Almost surely, 2^{201221211000121} is an apocalyptic number.

It is an amenable number.

201221211000121 is a deficient number, since it is larger than the sum of its proper divisors (17529801973463).

201221211000121 is a wasteful number, since it uses less digits than its factorization.

201221211000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83678220.

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

Adding to 201221211000121 its reverse (121000112122102), we get a palindrome (322221323122223).

The spelling of 201221211000121 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred eleven million, one hundred twenty-one", and thus it is an aban number.