102111313021328 has 160 divisors (see below), whose sum is σ = 226227498013440. Its totient is φ = 44231200358400.

The previous prime is 102111313021327. The next prime is 102111313021373. The reversal of 102111313021328 is 823120313111201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102111313021328.

It is not an unprimeable number, because it can be changed into a prime (102111313021327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3779507276 + ... + 3779534292.

It is an arithmetic number, because the mean of its divisors is an integer number (1413921862584).

Almost surely, 2^{102111313021328} 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 102111313021328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113113749006720).

102111313021328 is an abundant number, since it is smaller than the sum of its proper divisors (124116184992112).

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

102111313021328 is a wasteful number, since it uses less digits than its factorization.

102111313021328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30025 (or 30019 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

Adding to 102111313021328 its reverse (823120313111201), we get a palindrome (925231626132529).

The spelling of 102111313021328 in words is "one hundred two trillion, one hundred eleven billion, three hundred thirteen million, twenty-one thousand, three hundred twenty-eight".