102112220111 has 16 divisors (see below), whose sum is σ = 118027445760. Its totient is φ = 87309751680.

The previous prime is 102112220057. The next prime is 102112220113. The reversal of 102112220111 is 111022211201.

It is a cyclic number.

It is not a de Polignac number, because 102112220111 - 2²⁶ = 102045111247 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 (102112220113) 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, 94460 + ... + 461678.

It is an arithmetic number, because the mean of its divisors is an integer number (7376715360).

Almost surely, 2^102112220111 is an apocalyptic number.

102112220111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102112220111 is a deficient number, since it is larger than the sum of its proper divisors (15915225649).

102112220111 is a wasteful number, since it uses less digits than its factorization.

102112220111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368734.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102112220111 its reverse (111022211201), we get a palindrome (213134431312).

It can be divided in two parts, 102112 and 220111, that added together give a palindrome (322223).

The spelling of 102112220111 in words is "one hundred two billion, one hundred twelve million, two hundred twenty thousand, one hundred eleven".