100010112010110 has 96 divisors (see below), whose sum is σ = 273468253593600. Its totient is φ = 25308960836544.

The previous prime is 100010112010091. The next prime is 100010112010111. The reversal of 100010112010110 is 11010211010001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100010112010092 and 100010112010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010112010111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189949960 + ... + 190475739.

It is an arithmetic number, because the mean of its divisors is an integer number (2848627641600).

Almost surely, 2^{100010112010110} is an apocalyptic number.

100010112010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100010112010110 is an abundant number, since it is smaller than the sum of its proper divisors (173458141583490).

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

100010112010110 is a wasteful number, since it uses less digits than its factorization.

100010112010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380425862 (or 380425859 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100010112010110 its reverse (11010211010001), we get a palindrome (111020323020111).

The spelling of 100010112010110 in words is "one hundred trillion, ten billion, one hundred twelve million, ten thousand, one hundred ten".