213001220121 has 32 divisors (see below), whose sum is σ = 298738513920. Its totient is φ = 134824181184.

The previous prime is 213001220087. The next prime is 213001220123. The reversal of 213001220121 is 121022100312.

213001220121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213001220121 - 2¹⁸ = 213000957977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213001220121.

It is not an unprimeable number, because it can be changed into a prime (213001220123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5244390 + ... + 5284848.

It is an arithmetic number, because the mean of its divisors is an integer number (9335578560).

Almost surely, 2^213001220121 is an apocalyptic number.

It is an amenable number.

213001220121 is a deficient number, since it is larger than the sum of its proper divisors (85737293799).

213001220121 is a wasteful number, since it uses less digits than its factorization.

213001220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41645.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 213001220121 its reverse (121022100312), we get a palindrome (334023320433).

It can be divided in two parts, 21300 and 1220121, that added together give a palindrome (1241421).

The spelling of 213001220121 in words is "two hundred thirteen billion, one million, two hundred twenty thousand, one hundred twenty-one".