10200442202432 has 28 divisors (see below), whose sum is σ = 20241639595380. Its totient is φ = 5100186556416.

The previous prime is 10200442202407. The next prime is 10200442202437. The reversal of 10200442202432 is 23420224400201.

It can be written as a sum of positive squares in 2 ways, for example, as 9552649021696 + 647793180736 = 3090736^2 + 804856^2 .

It is a super-3 number, since 3×10200442202432³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200442202437) 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 3 ways as a sum of consecutive naturals, for example, 10844294 + ... + 11747322.

It is an arithmetic number, because the mean of its divisors is an integer number (722915699835).

Almost surely, 2^{10200442202432} is an apocalyptic number.

It is an amenable number.

10200442202432 is a deficient number, since it is larger than the sum of its proper divisors (10041197392948).

10200442202432 is an equidigital number, since it uses as much as digits as its factorization.

10200442202432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079538 (or 1079528 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 10200442202432 its reverse (23420224400201), we get a palindrome (33620666602633).

The spelling of 10200442202432 in words is "ten trillion, two hundred billion, four hundred forty-two million, two hundred two thousand, four hundred thirty-two".