100014004420 has 36 divisors (see below), whose sum is σ = 230858777772. Its totient is φ = 36368728000.

The previous prime is 100014004369. The next prime is 100014004439. The reversal of 100014004420 is 24400410001.

100014004420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 50562919044 + 49451085376 = 224862^2 + 222376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100014004394 and 100014004403.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20661631 + ... + 20666470.

It is an arithmetic number, because the mean of its divisors is an integer number (6412743827).

Almost surely, 2^100014004420 is an apocalyptic number.

100014004420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100014004420 is an abundant number, since it is smaller than the sum of its proper divisors (130844773352).

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

100014004420 is a wasteful number, since it uses less digits than its factorization.

100014004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41328132 (or 41328119 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 100014004420 its reverse (24400410001), we get a palindrome (124414414421).

The spelling of 100014004420 in words is "one hundred billion, fourteen million, four thousand, four hundred twenty".