10032112203201 has 24 divisors (see below), whose sum is σ = 15849451478016. Its totient is φ = 6064193127840.

The previous prime is 10032112203103. The next prime is 10032112203229. The reversal of 10032112203201 is 10230221123001.

10032112203201 is a `hidden beast` number, since 1 + 0 + 0 + 321 + 1 + 2 + 20 + 320 + 1 = 666.

It is not a de Polignac number, because 10032112203201 - 2⁷ = 10032112203073 is a prime.

It is a super-2 number, since 2×10032112203201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10032112203241) 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, 132252510 + ... + 132328343.

It is an arithmetic number, because the mean of its divisors is an integer number (660393811584).

Almost surely, 2^{10032112203201} is an apocalyptic number.

10032112203201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10032112203201 is a deficient number, since it is larger than the sum of its proper divisors (5817339274815).

10032112203201 is a wasteful number, since it uses less digits than its factorization.

10032112203201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264581253 (or 264581250 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10032112203201 its reverse (10230221123001), we get a palindrome (20262333326202).

The spelling of 10032112203201 in words is "ten trillion, thirty-two billion, one hundred twelve million, two hundred three thousand, two hundred one".