102210112112 has 120 divisors (see below), whose sum is σ = 213878967120. Its totient is φ = 47302410240.

The previous prime is 102210112051. The next prime is 102210112133. The reversal of 102210112112 is 211211012201.

It is a super-3 number, since 3×102210112112³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 81182939 + ... + 81184197.

It is an arithmetic number, because the mean of its divisors is an integer number (1782324726).

Almost surely, 2^102210112112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106939483560).

102210112112 is an abundant number, since it is smaller than the sum of its proper divisors (111668855008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102210112112 is a wasteful number, since it uses less digits than its factorization.

102210112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1556 counting only the distinct ones).

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

Adding to 102210112112 its reverse (211211012201), we get a palindrome (313421124313).

The spelling of 102210112112 in words is "one hundred two billion, two hundred ten million, one hundred twelve thousand, one hundred twelve".