102001123312 has 80 divisors (see below), whose sum is σ = 218448768384. Its totient is φ = 45753120000.

The previous prime is 102001123307. The next prime is 102001123319. The reversal of 102001123312 is 213321100201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001123319) 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, 5447887 + ... + 5466577.

Almost surely, 2^102001123312 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 102001123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109224384192).

102001123312 is an abundant number, since it is smaller than the sum of its proper divisors (116447645072).

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

102001123312 is a wasteful number, since it uses less digits than its factorization.

102001123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19118 (or 19112 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102001123312 its reverse (213321100201), we get a palindrome (315322223513).

The spelling of 102001123312 in words is "one hundred two billion, one million, one hundred twenty-three thousand, three hundred twelve".