212011200011121 has 16 divisors (see below), whose sum is σ = 331796163725184. Its totient is φ = 117874952901504.

The previous prime is 212011200011099. The next prime is 212011200011159. The reversal of 212011200011121 is 121110002110212.

It is a happy number.

It is not a de Polignac number, because 212011200011121 - 2¹¹ = 212011200009073 is a prime.

It is a super-2 number, since 2×212011200011121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212011200011121.

It is not an unprimeable number, because it can be changed into a prime (212011200011321) 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 15 ways as a sum of consecutive naturals, for example, 136429342860 + ... + 136429344413.

It is an arithmetic number, because the mean of its divisors is an integer number (20737260232824).

Almost surely, 2^{212011200011121} is an apocalyptic number.

212011200011121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212011200011121 is a deficient number, since it is larger than the sum of its proper divisors (119784963714063).

212011200011121 is a wasteful number, since it uses less digits than its factorization.

212011200011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272858687320.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212011200011121 its reverse (121110002110212), we get a palindrome (333121202121333).

The spelling of 212011200011121 in words is "two hundred twelve trillion, eleven billion, two hundred million, eleven thousand, one hundred twenty-one".