102133261216 has 96 divisors (see below), whose sum is σ = 233863217280. Its totient is φ = 42998501376.

The previous prime is 102133261193. The next prime is 102133261231. The reversal of 102133261216 is 612162331201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34584796 + ... + 34587748.

It is an arithmetic number, because the mean of its divisors is an integer number (2436075180).

Almost surely, 2^102133261216 is an apocalyptic number.

102133261216 is a gapful number since it is divisible by the number (16) 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 102133261216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116931608640).

102133261216 is an abundant number, since it is smaller than the sum of its proper divisors (131729956064).

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

102133261216 is a wasteful number, since it uses less digits than its factorization.

102133261216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5646 (or 5638 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 102133261216 its reverse (612162331201), we get a palindrome (714295592417).

The spelling of 102133261216 in words is "one hundred two billion, one hundred thirty-three million, two hundred sixty-one thousand, two hundred sixteen".