102212003232 has 144 divisors (see below), whose sum is σ = 295049867112. Its totient is φ = 33560217600.

The previous prime is 102212003227. The next prime is 102212003237. The reversal of 102212003232 is 232300212201.

102212003232 is a `hidden beast` number, since 10 + 221 + 200 + 3 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (102212003227) and next prime (102212003237).

It can be written as a sum of positive squares in 4 ways, for example, as 85331757456 + 16880245776 = 292116^2 + 129924^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102212003237) 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 23 ways as a sum of consecutive naturals, for example, 5721418 + ... + 5739254.

Almost surely, 2^102212003232 is an apocalyptic number.

102212003232 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 102212003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147524933556).

102212003232 is an abundant number, since it is smaller than the sum of its proper divisors (192837863880).

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

102212003232 is a wasteful number, since it uses less digits than its factorization.

102212003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18151 (or 18140 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102212003232 its reverse (232300212201), we get a palindrome (334512215433).

The spelling of 102212003232 in words is "one hundred two billion, two hundred twelve million, three thousand, two hundred thirty-two".