212111011012121 has 32 divisors (see below), whose sum is σ = 231432420194976. Its totient is φ = 193236150528000.

The previous prime is 212111011012037. The next prime is 212111011012123. The reversal of 212111011012121 is 121210110111212.

It can be written as a sum of positive squares in 16 ways, for example, as 117343901186521 + 94767109825600 = 10832539^2 + 9734840^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212111011012121 is a prime.

It is a super-2 number, since 2×212111011012121² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 212111011012121.

It is not an unprimeable number, because it can be changed into a prime (212111011012123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141387391 + ... + 1141573211.

It is an arithmetic number, because the mean of its divisors is an integer number (7232263131093).

Almost surely, 2^{212111011012121} is an apocalyptic number.

It is an amenable number.

212111011012121 is a deficient number, since it is larger than the sum of its proper divisors (19321409182855).

212111011012121 is a wasteful number, since it uses less digits than its factorization.

212111011012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189693.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 212111011012121 its reverse (121210110111212), we get a palindrome (333321121123333).

Subtracting from 212111011012121 its reverse (121210110111212), we obtain a palindrome (90900900900909).

The spelling of 212111011012121 in words is "two hundred twelve trillion, one hundred eleven billion, eleven million, twelve thousand, one hundred twenty-one".