102202003012320 has 144 divisors (see below), whose sum is σ = 350300743163280. Its totient is φ = 27133806292992.

The previous prime is 102202003012301. The next prime is 102202003012327. The reversal of 102202003012320 is 23210300202201.

102202003012320 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 20 + 0 + 301 + 2 + 320 = 666.

102202003012320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102202003012293 and 102202003012302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202003012327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156002665 + ... + 156656424.

It is an arithmetic number, because the mean of its divisors is an integer number (2432644049745).

Almost surely, 2^{102202003012320} is an apocalyptic number.

102202003012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202003012320 is an abundant number, since it is smaller than the sum of its proper divisors (248098740150960).

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

102202003012320 is a wasteful number, since it uses less digits than its factorization.

102202003012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312659337 (or 312659326 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102202003012320 its reverse (23210300202201), we get a palindrome (125412303214521).

The spelling of 102202003012320 in words is "one hundred two trillion, two hundred two billion, three million, twelve thousand, three hundred twenty".