102212122112 has 80 divisors (see below), whose sum is σ = 206362833600. Its totient is φ = 50573445120.

The previous prime is 102212122097. The next prime is 102212122127. The reversal of 102212122112 is 211221212201.

It is an interprime number because it is at equal distance from previous prime (102212122097) and next prime (102212122127).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23554439 + ... + 23558777.

It is an arithmetic number, because the mean of its divisors is an integer number (2579535420).

Almost surely, 2^102212122112 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 102212122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103181416800).

102212122112 is an abundant number, since it is smaller than the sum of its proper divisors (104150711488).

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

102212122112 is an equidigital number, since it uses as much as digits as its factorization.

102212122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102212122112 its reverse (211221212201), we get a palindrome (313433334313).

The spelling of 102212122112 in words is "one hundred two billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twelve".