102020002320 has 160 divisors (see below), whose sum is σ = 326355004800. Its totient is φ = 26344120320.

The previous prime is 102020002291. The next prime is 102020002339. The reversal of 102020002320 is 23200020201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102020002296 and 102020002305.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1846456 + ... + 1900904.

It is an arithmetic number, because the mean of its divisors is an integer number (2039718780).

Almost surely, 2^102020002320 is an apocalyptic number.

102020002320 is a gapful number since it is divisible by the number (10) 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 102020002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163177502400).

102020002320 is an abundant number, since it is smaller than the sum of its proper divisors (224335002480).

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

102020002320 is a wasteful number, since it uses less digits than its factorization.

102020002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54713 (or 54707 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 102020002320 its reverse (23200020201), we get a palindrome (125220022521).

The spelling of 102020002320 in words is "one hundred two billion, twenty million, two thousand, three hundred twenty".