102004301313420 has 192 divisors, whose sum is σ = 313013189873664. Its totient is φ = 24614342138880.

The previous prime is 102004301313413. The next prime is 102004301313451. The reversal of 102004301313420 is 24313103400201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1308832774 + ... + 1308910706.

It is an arithmetic number, because the mean of its divisors is an integer number (1630277030592).

Almost surely, 2^{102004301313420} is an apocalyptic number.

102004301313420 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 102004301313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156506594936832).

102004301313420 is an abundant number, since it is smaller than the sum of its proper divisors (211008888560244).

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

102004301313420 is a wasteful number, since it uses less digits than its factorization.

102004301313420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87072 (or 87070 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102004301313420 its reverse (24313103400201), we get a palindrome (126317404713621).

The spelling of 102004301313420 in words is "one hundred two trillion, four billion, three hundred one million, three hundred thirteen thousand, four hundred twenty".