102133244016 has 60 divisors (see below), whose sum is σ = 285860409120. Its totient is φ = 34040939520.

The previous prime is 102133244009. The next prime is 102133244027. The reversal of 102133244016 is 610442331201.

It is a happy number.

102133244016 is a `hidden beast` number, since 1 + 0 + 213 + 3 + 2 + 440 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1651705 + ... + 1712423.

It is an arithmetic number, because the mean of its divisors is an integer number (4764340152).

Almost surely, 2^102133244016 is an apocalyptic number.

102133244016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102133244016 is an abundant number, since it is smaller than the sum of its proper divisors (183727165104).

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

102133244016 is a wasteful number, since it uses less digits than its factorization.

102133244016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72414 (or 72405 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 102133244016 its reverse (610442331201), we get a palindrome (712575575217).

The spelling of 102133244016 in words is "one hundred two billion, one hundred thirty-three million, two hundred forty-four thousand, sixteen".