102212000000 has 504 divisors, whose sum is σ = 293182497216. Its totient is φ = 35200000000.

The previous prime is 102211999999. The next prime is 102212000003. The reversal of 102212000000 is 212201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (102212000003) 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 55 ways as a sum of consecutive naturals, for example, 1011999950 + ... + 1012000050.

It is an arithmetic number, because the mean of its divisors is an integer number (581711304).

Almost surely, 2^102212000000 is an apocalyptic number.

102212000000 is a gapful number since it is divisible by the number (10) 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 102212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146591248608).

102212000000 is an abundant number, since it is smaller than the sum of its proper divisors (190970497216).

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

102212000000 is an frugal number, since it uses more digits than its factorization.

102212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 102212000000 its reverse (212201), we get a palindrome (102212212201).

The spelling of 102212000000 in words is "one hundred two billion, two hundred twelve million", and thus it is an aban number.