201300104252000 has 384 divisors, whose sum is σ = 535988480227200. Its totient is φ = 73859530752000.

The previous prime is 201300104251973. The next prime is 201300104252081. The reversal of 201300104252000 is 252401003102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14976565280 + ... + 14976578720.

It is an arithmetic number, because the mean of its divisors is an integer number (1395803333925).

Almost surely, 2^{201300104252000} is an apocalyptic number.

201300104252000 is a gapful number since it is divisible by the number (20) 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 201300104252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267994240113600).

201300104252000 is an abundant number, since it is smaller than the sum of its proper divisors (334688375975200).

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

201300104252000 is a wasteful number, since it uses less digits than its factorization.

201300104252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15267 (or 15249 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 201300104252000 its reverse (252401003102), we get a palindrome (201552505255102).

The spelling of 201300104252000 in words is "two hundred one trillion, three hundred billion, one hundred four million, two hundred fifty-two thousand".