10004141100 has 72 divisors (see below), whose sum is σ = 28981200640. Its totient is φ = 2664463680.

The previous prime is 10004141071. The next prime is 10004141129. The reversal of 10004141100 is 114140001.

It is an interprime number because it is at equal distance from previous prime (10004141071) and next prime (10004141129).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226641 + ... + 267159.

Almost surely, 2^10004141100 is an apocalyptic number.

10004141100 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 10004141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14490600320).

10004141100 is an abundant number, since it is smaller than the sum of its proper divisors (18977059540).

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

10004141100 is a wasteful number, since it uses less digits than its factorization.

10004141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41359 (or 41352 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10004141100 its reverse (114140001), we get a palindrome (10118281101).

It can be divided in two parts, 100041 and 41100, that added together give a palindrome (141141).

The spelling of 10004141100 in words is "ten billion, four million, one hundred forty-one thousand, one hundred".