212102102121 has 96 divisors (see below), whose sum is σ = 374896263168. Its totient is φ = 105504981120.

The previous prime is 212102102117. The next prime is 212102102141. The reversal of 212102102121 is 121201201212.

It is not a de Polignac number, because 212102102121 - 2² = 212102102117 is a prime.

It is a super-2 number, since 2×212102102121² (a number of 23 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 212102102121.

It is not an unprimeable number, because it can be changed into a prime (212102102111) 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 95 ways as a sum of consecutive naturals, for example, 3086680 + ... + 3154646.

It is an arithmetic number, because the mean of its divisors is an integer number (3905169408).

Almost surely, 2^212102102121 is an apocalyptic number.

212102102121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212102102121 is a deficient number, since it is larger than the sum of its proper divisors (162794161047).

212102102121 is a wasteful number, since it uses less digits than its factorization.

212102102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68091 (or 68084 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212102102121 its reverse (121201201212), we get a palindrome (333303303333).

Subtracting from 212102102121 its reverse (121201201212), we obtain a palindrome (90900900909).

The spelling of 212102102121 in words is "two hundred twelve billion, one hundred two million, one hundred two thousand, one hundred twenty-one".