100110012110020 has 96 divisors (see below), whose sum is σ = 234608457646080. Its totient is φ = 35570395962240.

The previous prime is 100110012109931. The next prime is 100110012110023. The reversal of 100110012110020 is 20011210011001.

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 = 100110012109979 and 100110012110006.

It is not an unprimeable number, because it can be changed into a prime (100110012110023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1698760 + ... + 14251519.

It is an arithmetic number, because the mean of its divisors is an integer number (2443838100480).

Almost surely, 2^{100110012110020} is an apocalyptic number.

100110012110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110012110020 is an abundant number, since it is smaller than the sum of its proper divisors (134498445536060).

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

100110012110020 is a wasteful number, since it uses less digits than its factorization.

100110012110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15950953 (or 15950951 counting only the distinct ones).

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

Adding to 100110012110020 its reverse (20011210011001), we get a palindrome (120121222121021).

The spelling of 100110012110020 in words is "one hundred trillion, one hundred ten billion, twelve million, one hundred ten thousand, twenty".