201012212121021 has 128 divisors (see below), whose sum is σ = 358746292224000. Its totient is φ = 108865283262912.

The previous prime is 201012212121013. The next prime is 201012212121037. The reversal of 201012212121021 is 120121212210102.

201012212121021 is a `hidden beast` number, since 201 + 0 + 1 + 221 + 212 + 10 + 21 = 666.

It is not a de Polignac number, because 201012212121021 - 2³ = 201012212121013 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201012212120985 and 201012212121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012212121821) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32252260 + ... + 37976738.

It is an arithmetic number, because the mean of its divisors is an integer number (2802705408000).

Almost surely, 2^{201012212121021} is an apocalyptic number.

201012212121021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201012212121021 is a deficient number, since it is larger than the sum of its proper divisors (157734080102979).

201012212121021 is a wasteful number, since it uses less digits than its factorization.

201012212121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724668 (or 5724662 counting only the distinct ones).

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

Adding to 201012212121021 its reverse (120121212210102), we get a palindrome (321133424331123).

The spelling of 201012212121021 in words is "two hundred one trillion, twelve billion, two hundred twelve million, one hundred twenty-one thousand, twenty-one".