102021803842816 has 288 divisors, whose sum is σ = 242242012938240. Its totient is φ = 42271027814400.

The previous prime is 102021803842793. The next prime is 102021803842873. The reversal of 102021803842816 is 618248308120201.

102021803842816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7872653745 + ... + 7872666703.

It is an arithmetic number, because the mean of its divisors is an integer number (841118100480).

Almost surely, 2^{102021803842816} is an apocalyptic number.

102021803842816 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 102021803842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121121006469120).

102021803842816 is an abundant number, since it is smaller than the sum of its proper divisors (140220209095424).

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

102021803842816 is a wasteful number, since it uses less digits than its factorization.

102021803842816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15673 (or 15659 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 102021803842816 in words is "one hundred two trillion, twenty-one billion, eight hundred three million, eight hundred forty-two thousand, eight hundred sixteen".