10441033142100 has 432 divisors, whose sum is σ = 34680633630720. Its totient is φ = 2418904224000.

The previous prime is 10441033142093. The next prime is 10441033142107. The reversal of 10441033142100 is 124133014401.

It is an interprime number because it is at equal distance from previous prime (10441033142093) and next prime (10441033142107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441033142107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1027756821 + ... + 1027766979.

Almost surely, 2^{10441033142100} is an apocalyptic number.

10441033142100 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 10441033142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17340316815360).

10441033142100 is an abundant number, since it is smaller than the sum of its proper divisors (24239600488620).

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

10441033142100 is a wasteful number, since it uses less digits than its factorization.

10441033142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11452 (or 11434 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10441033142100 its reverse (124133014401), we get a palindrome (10565166156501).

The spelling of 10441033142100 in words is "ten trillion, four hundred forty-one billion, thirty-three million, one hundred forty-two thousand, one hundred".