212102011122001 has 192 divisors, whose sum is σ = 293543929843200. Its totient is φ = 148772422656000.

The previous prime is 212102011121989. The next prime is 212102011122047. The reversal of 212102011122001 is 100221110201212.

It is not a de Polignac number, because 212102011122001 - 2¹³ = 212102011113809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212102011122901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78179877421 + ... + 78179880133.

It is an arithmetic number, because the mean of its divisors is an integer number (1528874634600).

Almost surely, 2^{212102011122001} is an apocalyptic number.

It is an amenable number.

212102011122001 is a deficient number, since it is larger than the sum of its proper divisors (81441918721199).

212102011122001 is a wasteful number, since it uses less digits than its factorization.

212102011122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212102011122001 its reverse (100221110201212), we get a palindrome (312323121323213).

The spelling of 212102011122001 in words is "two hundred twelve trillion, one hundred two billion, eleven million, one hundred twenty-two thousand, one".