102222011112 has 256 divisors, whose sum is σ = 293092128000. Its totient is φ = 29451091968.

The previous prime is 102222011107. The next prime is 102222011113. The reversal of 102222011112 is 211110222201.

It is a junction number, because it is equal to n+sod(n) for n = 102222011091 and 102222011100.

It is not an unprimeable number, because it can be changed into a prime (102222011113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348880438 + ... + 348880730.

It is an arithmetic number, because the mean of its divisors is an integer number (1144891125).

Almost surely, 2^102222011112 is an apocalyptic number.

102222011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146546064000).

102222011112 is an abundant number, since it is smaller than the sum of its proper divisors (190870116888).

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

102222011112 is a wasteful number, since it uses less digits than its factorization.

102222011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102222011112 its reverse (211110222201), we get a palindrome (313332233313).

The spelling of 102222011112 in words is "one hundred two billion, two hundred twenty-two million, eleven thousand, one hundred twelve".