10041412010200 has 96 divisors (see below), whose sum is σ = 23498883475200. Its totient is φ = 3990353362560.

The previous prime is 10041412010197. The next prime is 10041412010233. The reversal of 10041412010200 is 201021414001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37923469 + ... + 38187331.

It is an arithmetic number, because the mean of its divisors is an integer number (244780036200).

Almost surely, 2^{10041412010200} is an apocalyptic number.

10041412010200 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 10041412010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11749441737600).

10041412010200 is an abundant number, since it is smaller than the sum of its proper divisors (13457471465000).

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

10041412010200 is a wasteful number, since it uses less digits than its factorization.

10041412010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265121 (or 265112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10041412010200 its reverse (201021414001), we get a palindrome (10242433424201).

The spelling of 10041412010200 in words is "ten trillion, forty-one billion, four hundred twelve million, ten thousand, two hundred".