200210221120121 has 16 divisors (see below), whose sum is σ = 208459646010000. Its totient is φ = 192121218585600.

The previous prime is 200210221120109. The next prime is 200210221120127. The reversal of 200210221120121 is 121021122012002.

200210221120121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 19059860377600 + 181150360742521 = 4365760^2 + 13459211^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-200210221120121 is a prime.

It is a super-2 number, since 2×200210221120121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 200210221120121.

It is not an unprimeable number, because it can be changed into a prime (200210221120127) 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, 132122255 + ... + 133629003.

It is an arithmetic number, because the mean of its divisors is an integer number (13028727875625).

Almost surely, 2^{200210221120121} is an apocalyptic number.

It is an amenable number.

200210221120121 is a deficient number, since it is larger than the sum of its proper divisors (8249424889879).

200210221120121 is a wasteful number, since it uses less digits than its factorization.

200210221120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559980.

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

Adding to 200210221120121 its reverse (121021122012002), we get a palindrome (321231343132123).

The spelling of 200210221120121 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twenty-one".