10102032312 has 128 divisors (see below), whose sum is σ = 26600555520. Its totient is φ = 3193344000.

The previous prime is 10102032251. The next prime is 10102032323. The reversal of 10102032312 is 21323020101.

It is a junction number, because it is equal to n+sod(n) for n = 10102032291 and 10102032300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11466112 + ... + 11466992.

It is an arithmetic number, because the mean of its divisors is an integer number (207816840).

Almost surely, 2^10102032312 is an apocalyptic number.

10102032312 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 10102032312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13300277760).

10102032312 is an abundant number, since it is smaller than the sum of its proper divisors (16498523208).

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

10102032312 is a wasteful number, since it uses less digits than its factorization.

10102032312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10102032312 its reverse (21323020101), we get a palindrome (31425052413).

The spelling of 10102032312 in words is "ten billion, one hundred two million, thirty-two thousand, three hundred twelve".