102002203100320 has 96 divisors (see below), whose sum is σ = 256034060049600. Its totient is φ = 38292218966016.

The previous prime is 102002203100311. The next prime is 102002203100327. The reversal of 102002203100320 is 23001302200201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102002203100294 and 102002203100303.

It is not an unprimeable number, because it can be changed into a prime (102002203100327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 156466105 + ... + 157116664.

It is an arithmetic number, because the mean of its divisors is an integer number (2667021458850).

Almost surely, 2^{102002203100320} is an apocalyptic number.

102002203100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002203100320 is an abundant number, since it is smaller than the sum of its proper divisors (154031856949280).

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

102002203100320 is a wasteful number, since it uses less digits than its factorization.

102002203100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313582910 (or 313582902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102002203100320 its reverse (23001302200201), we get a palindrome (125003505300521).

The spelling of 102002203100320 in words is "one hundred two trillion, two billion, two hundred three million, one hundred thousand, three hundred twenty".