102119147728 has 180 divisors, whose sum is σ = 223360079040. Its totient is φ = 45186755328.

The previous prime is 102119147723. The next prime is 102119147731. The reversal of 102119147728 is 827741911201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102119147723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 570497943 + ... + 570498121.

It is an arithmetic number, because the mean of its divisors is an integer number (1240889328).

Almost surely, 2^102119147728 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 102119147728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111680039520).

102119147728 is an abundant number, since it is smaller than the sum of its proper divisors (121240931312).

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

102119147728 is a wasteful number, since it uses less digits than its factorization.

102119147728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 43.

The spelling of 102119147728 in words is "one hundred two billion, one hundred nineteen million, one hundred forty-seven thousand, seven hundred twenty-eight".