201200022100121 has 12 divisors (see below), whose sum is σ = 221154554600532. Its totient is φ = 182908440000000.

The previous prime is 201200022100117. The next prime is 201200022100199. The reversal of 201200022100121 is 121001220002102.

It can be written as a sum of positive squares in 2 ways, for example, as 88671206738521 + 112528815361600 = 9416539^2 + 10607960^2 .

It is not a de Polignac number, because 201200022100121 - 2² = 201200022100117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201200022100096 and 201200022100105.

It is not an unprimeable number, because it can be changed into a prime (201200022100321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31699121 + ... + 37513121.

It is an arithmetic number, because the mean of its divisors is an integer number (18429546216711).

Almost surely, 2^{201200022100121} is an apocalyptic number.

It is an amenable number.

201200022100121 is a deficient number, since it is larger than the sum of its proper divisors (19954532500411).

201200022100121 is a wasteful number, since it uses less digits than its factorization.

201200022100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100024 (or 6100013 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201200022100121 its reverse (121001220002102), we get a palindrome (322201242102223).

The spelling of 201200022100121 in words is "two hundred one trillion, two hundred billion, twenty-two million, one hundred thousand, one hundred twenty-one".