101110000404 has 144 divisors (see below), whose sum is σ = 276169158720. Its totient is φ = 28707356160.

The previous prime is 101110000403. The next prime is 101110000457. The reversal of 101110000404 is 404000011101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101110000404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110000403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92675899 + ... + 92676989.

It is an arithmetic number, because the mean of its divisors is an integer number (1917841380).

Almost surely, 2^101110000404 is an apocalyptic number.

101110000404 is a gapful number since it is divisible by the number (14) 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 101110000404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138084579360).

101110000404 is an abundant number, since it is smaller than the sum of its proper divisors (175059158316).

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

101110000404 is a wasteful number, since it uses less digits than its factorization.

101110000404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1949 counting only the distinct ones).

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

Adding to 101110000404 its reverse (404000011101), we get a palindrome (505110011505).

The spelling of 101110000404 in words is "one hundred one billion, one hundred ten million, four hundred four", and thus it is an aban number.