10201300004200 has 96 divisors (see below), whose sum is σ = 24076990224000. Its totient is φ = 4019014771200.

The previous prime is 10201300004153. The next prime is 10201300004201. The reversal of 10201300004200 is 240000310201.

It is not an unprimeable number, because it can be changed into a prime (10201300004201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5672895 + ... + 7251505.

It is an arithmetic number, because the mean of its divisors is an integer number (250801981500).

Almost surely, 2^{10201300004200} is an apocalyptic number.

10201300004200 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 10201300004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12038495112000).

10201300004200 is an abundant number, since it is smaller than the sum of its proper divisors (13875690219800).

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

10201300004200 is a wasteful number, since it uses less digits than its factorization.

10201300004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579115 (or 1579106 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10201300004200 its reverse (240000310201), we get a palindrome (10441300314401).

The spelling of 10201300004200 in words is "ten trillion, two hundred one billion, three hundred million, four thousand, two hundred".