100111020110020 has 24 divisors (see below), whose sum is σ = 212161886659800. Its totient is φ = 39677028152832.

The previous prime is 100111020109987. The next prime is 100111020110021. The reversal of 100111020110020 is 20011020111001.

100111020110020 is digitally balanced in base 6, 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 4 ways, for example, as 2975645700036 + 97135374409984 = 1725006^2 + 9855728^2 .

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 = 100111020109979 and 100111020110006.

It is not an unprimeable number, because it can be changed into a prime (100111020110021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22961240965 + ... + 22961245324.

It is an arithmetic number, because the mean of its divisors is an integer number (8840078610825).

Almost surely, 2^{100111020110020} is an apocalyptic number.

100111020110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111020110020 is an abundant number, since it is smaller than the sum of its proper divisors (112050866549780).

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

100111020110020 is a wasteful number, since it uses less digits than its factorization.

100111020110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45922486407 (or 45922486405 counting only the distinct ones).

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

Adding to 100111020110020 its reverse (20011020111001), we get a palindrome (120122040221021).

The spelling of 100111020110020 in words is "one hundred trillion, one hundred eleven billion, twenty million, one hundred ten thousand, twenty".