102301379481600 has 4212 divisors, whose sum is σ = 444483052124436. Its totient is φ = 23253410119680.

The previous prime is 102301379481589. The next prime is 102301379481671. The reversal of 102301379481600 is 6184973103201.

102301379481600 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 0 + 1 + 37 + 9 + 4 + 8 + 1 + 600 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 77482809114624 + 24818570366976 = 8802432^2 + 4981824^2 .

It is a tau number, because it is divible by the number of its divisors (4212).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 323 ways as a sum of consecutive naturals, for example, 1930214707174 + ... + 1930214707226.

It is an arithmetic number, because the mean of its divisors is an integer number (105527790153).

Almost surely, 2^{102301379481600} is an apocalyptic number.

102301379481600 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 102301379481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222241526062218).

102301379481600 is an abundant number, since it is smaller than the sum of its proper divisors (342181672642836).

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

102301379481600 is an frugal number, since it uses more digits than its factorization.

102301379481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 102301379481600 in words is "one hundred two trillion, three hundred one billion, three hundred seventy-nine million, four hundred eighty-one thousand, six hundred".