212111121 has 8 divisors (see below), whose sum is σ = 290458624. Its totient is φ = 137585520.

The previous prime is 212111111. The next prime is 212111147. The reversal of 212111121 is 121111212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 212111121 - 2¹⁷ = 211980049 is a prime.

It is a super-6 number, since 6×212111121⁶ (a number of 51 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212111097 and 212111106.

It is not an unprimeable number, because it can be changed into a prime (212111101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 955345 + ... + 955566.

It is an arithmetic number, because the mean of its divisors is an integer number (36307328).

Almost surely, 2^212111121 is an apocalyptic number.

It is an amenable number.

212111121 is a deficient number, since it is larger than the sum of its proper divisors (78347503).

212111121 is a wasteful number, since it uses less digits than its factorization.

212111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910951.

The product of its digits is 8, while the sum is 12.

The square root of 212111121 is about 14564.0351894659. The cubic root of 212111121 is about 596.3773575677.

Adding to 212111121 its reverse (121111212), we get a palindrome (333222333).

Subtracting from 212111121 its reverse (121111212), we obtain a palindrome (90999909).

It can be divided in two parts, 2 and 12111121, that multiplied together give a palindrome (24222242).

The spelling of 212111121 in words is "two hundred twelve million, one hundred eleven thousand, one hundred twenty-one".