130102052110400 has 168 divisors, whose sum is σ = 326312841073800. Its totient is φ = 51041009664000.

The previous prime is 130102052110253. The next prime is 130102052110403. The reversal of 130102052110400 is 4011250201031.

It can be written as a sum of positive squares in 12 ways, for example, as 76553260278784 + 53548791831616 = 8749472^2 + 7317704^2 .

It is a super-3 number, since 3×130102052110400³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (130102052110403) 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, 32152640 + ... + 35972160.

It is an arithmetic number, because the mean of its divisors is an integer number (1942338339725).

Almost surely, 2^{130102052110400} is an apocalyptic number.

130102052110400 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 130102052110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163156420536900).

130102052110400 is an abundant number, since it is smaller than the sum of its proper divisors (196210788963400).

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

130102052110400 is a wasteful number, since it uses less digits than its factorization.

130102052110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819953 (or 3819938 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The spelling of 130102052110400 in words is "one hundred thirty trillion, one hundred two billion, fifty-two million, one hundred ten thousand, four hundred".