10003004041100 has 144 divisors (see below), whose sum is σ = 26116390110720. Its totient is φ = 3248687347200.

The previous prime is 10003004041067. The next prime is 10003004041133. The reversal of 10003004041100 is 114040030001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10003004041067) and next prime (10003004041133).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116478377 + ... + 116564223.

Almost surely, 2^{10003004041100} is an apocalyptic number.

10003004041100 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 10003004041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13058195055360).

10003004041100 is an abundant number, since it is smaller than the sum of its proper divisors (16113386069620).

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

10003004041100 is a wasteful number, since it uses less digits than its factorization.

10003004041100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94648 (or 94641 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10003004041100 its reverse (114040030001), we get a palindrome (10117044071101).

The spelling of 10003004041100 in words is "ten trillion, three billion, four million, forty-one thousand, one hundred".