212132321001 has 24 divisors (see below), whose sum is σ = 317479760520. Its totient is φ = 136381625856.

The previous prime is 212132320979. The next prime is 212132321003. The reversal of 212132321001 is 100123231212.

212132321001 is a `hidden beast` number, since 212 + 132 + 321 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6425625600 + 205706695401 = 80160^2 + 453549^2 .

It is not a de Polignac number, because 212132321001 - 2⁶ = 212132320937 is a prime.

It is a super-2 number, since 2×212132321001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212132321003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2781106 + ... + 2856363.

It is an arithmetic number, because the mean of its divisors is an integer number (13228323355).

Almost surely, 2^212132321001 is an apocalyptic number.

It is an amenable number.

212132321001 is a deficient number, since it is larger than the sum of its proper divisors (105347439519).

212132321001 is a wasteful number, since it uses less digits than its factorization.

212132321001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5637625 (or 5637622 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212132321001 its reverse (100123231212), we get a palindrome (312255552213).

The spelling of 212132321001 in words is "two hundred twelve billion, one hundred thirty-two million, three hundred twenty-one thousand, one".