102000033312 has 96 divisors (see below), whose sum is σ = 280320626880. Its totient is φ = 32432010240.

The previous prime is 102000033301. The next prime is 102000033313. The reversal of 102000033312 is 213330000201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 102000033291 and 102000033300.

It is not an unprimeable number, because it can be changed into a prime (102000033313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10362 + ... + 451782.

It is an arithmetic number, because the mean of its divisors is an integer number (2920006530).

Almost surely, 2^102000033312 is an apocalyptic number.

102000033312 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 102000033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140160313440).

102000033312 is an abundant number, since it is smaller than the sum of its proper divisors (178320593568).

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

102000033312 is a wasteful number, since it uses less digits than its factorization.

102000033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441546 (or 441538 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 102000033312 its reverse (213330000201), we get a palindrome (315330033513).

The spelling of 102000033312 in words is "one hundred two billion, thirty-three thousand, three hundred twelve".