102212112012 has 48 divisors (see below), whose sum is σ = 238915633152. Its totient is φ = 34010660160.

The previous prime is 102212112001. The next prime is 102212112019. The reversal of 102212112012 is 210211212201.

It is a junction number, because it is equal to n+sod(n) for n = 102212111982 and 102212112000.

It is not an unprimeable number, because it can be changed into a prime (102212112019) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28525173 + ... + 28528755.

It is an arithmetic number, because the mean of its divisors is an integer number (4977409024).

Almost surely, 2^102212112012 is an apocalyptic number.

102212112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212112012 is an abundant number, since it is smaller than the sum of its proper divisors (136703521140).

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

102212112012 is a wasteful number, since it uses less digits than its factorization.

102212112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7118 (or 7116 counting only the distinct ones).

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

Adding to 102212112012 its reverse (210211212201), we get a palindrome (312423324213).

The spelling of 102212112012 in words is "one hundred two billion, two hundred twelve million, one hundred twelve thousand, twelve".