212121012164 has 6 divisors (see below), whose sum is σ = 371211771294. Its totient is φ = 106060506080.

The previous prime is 212121012163. The next prime is 212121012221. The reversal of 212121012164 is 461210121212.

212121012164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 211837426564 + 283585600 = 460258^2 + 16840^2 .

It is a super-3 number, since 3×212121012164³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (212121012163) 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 as a sum of consecutive naturals, namely, 26515126517 + ... + 26515126524.

It is an arithmetic number, because the mean of its divisors is an integer number (61868628549).

Almost surely, 2^212121012164 is an apocalyptic number.

It is an amenable number.

212121012164 is a deficient number, since it is larger than the sum of its proper divisors (159090759130).

212121012164 is a wasteful number, since it uses less digits than its factorization.

212121012164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53030253045 (or 53030253043 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 212121012164 its reverse (461210121212), we get a palindrome (673331133376).

The spelling of 212121012164 in words is "two hundred twelve billion, one hundred twenty-one million, twelve thousand, one hundred sixty-four".