10200442033332 has 36 divisors (see below), whose sum is σ = 25795280164836. Its totient is φ = 3398719282560.

The previous prime is 10200442033283. The next prime is 10200442033339. The reversal of 10200442033332 is 23333024400201.

10200442033332 is a `hidden beast` number, since 1 + 0 + 200 + 4 + 420 + 3 + 3 + 3 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4912047396 + 10195529985936 = 70086^2 + 3193044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 10200442033296 and 10200442033305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200442033339) 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 11 ways as a sum of consecutive naturals, for example, 59415673 + ... + 59587104.

Almost surely, 2^{10200442033332} is an apocalyptic number.

10200442033332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10200442033332 is an abundant number, since it is smaller than the sum of its proper divisors (15594838131504).

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

10200442033332 is a wasteful number, since it uses less digits than its factorization.

10200442033332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119005168 (or 119005163 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 10200442033332 its reverse (23333024400201), we get a palindrome (33533466433533).

The spelling of 10200442033332 in words is "ten trillion, two hundred billion, four hundred forty-two million, thirty-three thousand, three hundred thirty-two".