100011110120020 has 96 divisors (see below), whose sum is σ = 229335571906560. Its totient is φ = 36332898053760.

The previous prime is 100011110119969. The next prime is 100011110120059. The reversal of 100011110120020 is 20021011110001.

100011110120020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100011110119979 and 100011110120006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 982000261 + ... + 982102099.

It is an arithmetic number, because the mean of its divisors is an integer number (2388912207360).

Almost surely, 2^{100011110120020} is an apocalyptic number.

100011110120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011110120020 is an abundant number, since it is smaller than the sum of its proper divisors (129324461786540).

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

100011110120020 is a wasteful number, since it uses less digits than its factorization.

100011110120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106085 (or 106083 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100011110120020 its reverse (20021011110001), we get a palindrome (120032121230021).

The spelling of 100011110120020 in words is "one hundred trillion, eleven billion, one hundred ten million, one hundred twenty thousand, twenty".