100110110211120 has 80 divisors (see below), whose sum is σ = 323834443483392. Its totient is φ = 25535332458240.

The previous prime is 100110110211091. The next prime is 100110110211127. The reversal of 100110110211120 is 21112011011001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100110110211096 and 100110110211105.

It is not an unprimeable number, because it can be changed into a prime (100110110211127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9067939246 + ... + 9067950285.

Almost surely, 2^{100110110211120} is an apocalyptic number.

100110110211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110110211120 is an abundant number, since it is smaller than the sum of its proper divisors (223724333272272).

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

100110110211120 is a wasteful number, since it uses less digits than its factorization.

100110110211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18135889570 (or 18135889564 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100110110211120 its reverse (21112011011001), we get a palindrome (121222121222121).

The spelling of 100110110211120 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, two hundred eleven thousand, one hundred twenty".