10201000003200 has 288 divisors, whose sum is σ = 37654664193900. Its totient is φ = 2626464153600.

The previous prime is 10201000003157. The next prime is 10201000003253. The reversal of 10201000003200 is 230000010201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2985071685696 + 7215928317504 = 1727736^2 + 2686248^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5271721 + ... + 6942120.

Almost surely, 2^{10201000003200} is an apocalyptic number.

10201000003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201000003200 is an abundant number, since it is smaller than the sum of its proper divisors (27453664190700).

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

10201000003200 is a wasteful number, since it uses less digits than its factorization.

10201000003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12213900 (or 12213880 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10201000003200 its reverse (230000010201), we get a palindrome (10431000013401).

The spelling of 10201000003200 in words is "ten trillion, two hundred one billion, three thousand, two hundred".