212121121010201 has 32 divisors (see below), whose sum is σ = 230253226912800. Its totient is φ = 194255625682944.

The previous prime is 212121121010159. The next prime is 212121121010219. The reversal of 212121121010201 is 102010121121212.

It can be written as a sum of positive squares in 16 ways, for example, as 139849427382025 + 72271693628176 = 11825795^2 + 8501276^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121121010201 - 2¹⁰ = 212121121009177 is a prime.

It is a super-2 number, since 2×212121121010201² (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 212121121010201.

It is not an unprimeable number, because it can be changed into a prime (212121121010231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 992741825 + ... + 992955473.

It is an arithmetic number, because the mean of its divisors is an integer number (7195413341025).

Almost surely, 2^{212121121010201} is an apocalyptic number.

It is an amenable number.

212121121010201 is a deficient number, since it is larger than the sum of its proper divisors (18132105902599).

212121121010201 is a wasteful number, since it uses less digits than its factorization.

212121121010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215085.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212121121010201 its reverse (102010121121212), we get a palindrome (314131242131413).

The spelling of 212121121010201 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred twenty-one million, ten thousand, two hundred one".