102212122111 has 16 divisors (see below), whose sum is σ = 111746935296. Its totient is φ = 92718000000.

The previous prime is 102212122097. The next prime is 102212122127. The reversal of 102212122111 is 111221212201.

It is a cyclic number.

It is not a de Polignac number, because 102212122111 - 2⁷ = 102212121983 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 (102212122151) 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, 11238676 + ... + 11247766.

It is an arithmetic number, because the mean of its divisors is an integer number (6984183456).

Almost surely, 2^102212122111 is an apocalyptic number.

102212122111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102212122111 is a deficient number, since it is larger than the sum of its proper divisors (9534813185).

102212122111 is a wasteful number, since it uses less digits than its factorization.

102212122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11214.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102212122111 its reverse (111221212201), we get a palindrome (213433334312).

The spelling of 102212122111 in words is "one hundred two billion, two hundred twelve million, one hundred twenty-two thousand, one hundred eleven".