10001104041420 has 72 divisors (see below), whose sum is σ = 30390566549616. Its totient is φ = 2662223997312.

The previous prime is 10001104041413. The next prime is 10001104041479. The reversal of 10001104041420 is 2414040110001.

10001104041420 is a `hidden beast` number, since 10 + 0 + 0 + 110 + 404 + 142 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10001104041393 and 10001104041402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49242967 + ... + 49445646.

It is an arithmetic number, because the mean of its divisors is an integer number (422091202078).

Almost surely, 2^{10001104041420} is an apocalyptic number.

10001104041420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001104041420 is an abundant number, since it is smaller than the sum of its proper divisors (20389462508196).

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

10001104041420 is a wasteful number, since it uses less digits than its factorization.

10001104041420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98689191 (or 98689186 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10001104041420 its reverse (2414040110001), we get a palindrome (12415144151421).

The spelling of 10001104041420 in words is "ten trillion, one billion, one hundred four million, forty-one thousand, four hundred twenty".