100110110112 has 48 divisors (see below), whose sum is σ = 291987823680. Its totient is φ = 33370036416.

The previous prime is 100110110101. The next prime is 100110110131. The reversal of 100110110112 is 211011011001.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 100110110094 and 100110110103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57933228 + ... + 57934955.

It is an arithmetic number, because the mean of its divisors is an integer number (6083079660).

Almost surely, 2^100110110112 is an apocalyptic number.

100110110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100110110112 is an abundant number, since it is smaller than the sum of its proper divisors (191877713568).

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

100110110112 is a wasteful number, since it uses less digits than its factorization.

100110110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115868202 (or 115868188 counting only the distinct ones).

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

Adding to 100110110112 its reverse (211011011001), we get a palindrome (311121121113).

The spelling of 100110110112 in words is "one hundred billion, one hundred ten million, one hundred ten thousand, one hundred twelve".