212131331123201 has 24 divisors (see below), whose sum is σ = 253395979255584. Its totient is φ = 176970767319360.

The previous prime is 212131331123149. The next prime is 212131331123267. The reversal of 212131331123201 is 102321133131212.

It is not a de Polignac number, because 212131331123201 - 2¹⁰ = 212131331122177 is a prime.

It is a super-2 number, since 2×212131331123201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212131531123201) 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 23 ways as a sum of consecutive naturals, for example, 177282380 + ... + 178474941.

It is an arithmetic number, because the mean of its divisors is an integer number (10558165802316).

Almost surely, 2^{212131331123201} is an apocalyptic number.

It is an amenable number.

212131331123201 is a deficient number, since it is larger than the sum of its proper divisors (41264648132383).

212131331123201 is a wasteful number, since it uses less digits than its factorization.

212131331123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355757661 (or 355757654 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 212131331123201 its reverse (102321133131212), we get a palindrome (314452464254413).

The spelling of 212131331123201 in words is "two hundred twelve trillion, one hundred thirty-one billion, three hundred thirty-one million, one hundred twenty-three thousand, two hundred one".