212122112102111 has 48 divisors (see below), whose sum is σ = 224734424217600. Its totient is φ = 200122397280000.

The previous prime is 212122112102063. The next prime is 212122112102113. The reversal of 212122112102111 is 111201211221212.

It is a happy number.

It is not a de Polignac number, because 212122112102111 - 2³⁸ = 211847234195167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122112102113) 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 47 ways as a sum of consecutive naturals, for example, 2123273261 + ... + 2123373161.

It is an arithmetic number, because the mean of its divisors is an integer number (4681967171200).

Almost surely, 2^{212122112102111} is an apocalyptic number.

212122112102111 is a deficient number, since it is larger than the sum of its proper divisors (12612312115489).

212122112102111 is an equidigital number, since it uses as much as digits as its factorization.

212122112102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100392 (or 100351 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 212122112102111 its reverse (111201211221212), we get a palindrome (323323323323323).

The spelling of 212122112102111 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred twelve million, one hundred two thousand, one hundred eleven".