201002222120121 has 48 divisors (see below), whose sum is σ = 317033740088208. Its totient is φ = 122201245900800.

The previous prime is 201002222120093. The next prime is 201002222120149. The reversal of 201002222120121 is 121021222200102.

It is a happy number.

201002222120121 is a `hidden beast` number, since 201 + 0 + 0 + 2 + 222 + 120 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (201002222120093) and next prime (201002222120149).

It can be written as a sum of positive squares in 8 ways, for example, as 47451983331600 + 153550238788521 = 6888540^2 + 12391539^2 .

It is not a de Polignac number, because 201002222120121 - 2²¹ = 201002220022969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201002222120094 and 201002222120103.

It is not an unprimeable number, because it can be changed into a prime (201002222127121) 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, 72300610 + ... + 75029211.

It is an arithmetic number, because the mean of its divisors is an integer number (6604869585171).

Almost surely, 2^{201002222120121} is an apocalyptic number.

It is an amenable number.

201002222120121 is a deficient number, since it is larger than the sum of its proper divisors (116031517968087).

201002222120121 is a wasteful number, since it uses less digits than its factorization.

201002222120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147330122 (or 147330119 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201002222120121 its reverse (121021222200102), we get a palindrome (322023444320223).

The spelling of 201002222120121 in words is "two hundred one trillion, two billion, two hundred twenty-two million, one hundred twenty thousand, one hundred twenty-one".