201200121221121 has 48 divisors (see below), whose sum is σ = 328791374865408. Its totient is φ = 121937078754000.

The previous prime is 201200121221119. The next prime is 201200121221123. The reversal of 201200121221121 is 121122121002102.

201200121221121 is a `hidden beast` number, since 2 + 0 + 1 + 200 + 121 + 221 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (201200121221119) and next prime (201200121221123).

It is not a de Polignac number, because 201200121221121 - 2¹ = 201200121221119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201200121221094 and 201200121221103.

It is not an unprimeable number, because it can be changed into a prime (201200121221123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140827260 + ... + 142248786.

It is an arithmetic number, because the mean of its divisors is an integer number (6849820309696).

Almost surely, 2^{201200121221121} is an apocalyptic number.

It is an amenable number.

201200121221121 is a deficient number, since it is larger than the sum of its proper divisors (127591253644287).

201200121221121 is a wasteful number, since it uses less digits than its factorization.

201200121221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474504 (or 1474492 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201200121221121 its reverse (121122121002102), we get a palindrome (322322242223223).

The spelling of 201200121221121 in words is "two hundred one trillion, two hundred billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-one".