102210002312 has 64 divisors (see below), whose sum is σ = 218297324160. Its totient is φ = 44410291200.

The previous prime is 102210002291. The next prime is 102210002317. The reversal of 102210002312 is 213200012201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102210002317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3265328 + ... + 3296480.

It is an arithmetic number, because the mean of its divisors is an integer number (3410895690).

Almost surely, 2^102210002312 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 102210002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109148662080).

102210002312 is an abundant number, since it is smaller than the sum of its proper divisors (116087321848).

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

102210002312 is a wasteful number, since it uses less digits than its factorization.

102210002312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32814 (or 32810 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102210002312 its reverse (213200012201), we get a palindrome (315410014513).

The spelling of 102210002312 in words is "one hundred two billion, two hundred ten million, two thousand, three hundred twelve".