10010201324200 has 384 divisors, whose sum is σ = 29474055325440. Its totient is φ = 3071232000000.

The previous prime is 10010201324197. The next prime is 10010201324231. The reversal of 10010201324200 is 242310201001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269065600 + ... + 269102800.

It is an arithmetic number, because the mean of its divisors is an integer number (76755352410).

Almost surely, 2^{10010201324200} is an apocalyptic number.

10010201324200 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 10010201324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14737027662720).

10010201324200 is an abundant number, since it is smaller than the sum of its proper divisors (19463854001240).

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

10010201324200 is a wasteful number, since it uses less digits than its factorization.

10010201324200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37509 (or 37500 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10010201324200 its reverse (242310201001), we get a palindrome (10252511525201).

The spelling of 10010201324200 in words is "ten trillion, ten billion, two hundred one million, three hundred twenty-four thousand, two hundred".