100111100111120 has 40 divisors (see below), whose sum is σ = 266009494582464. Its totient is φ = 34323805752192.

The previous prime is 100111100111111. The next prime is 100111100111129. The reversal of 100111100111120 is 21111001111001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100111100111111) and next prime (100111100111129).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (100111100111129) 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 7 ways as a sum of consecutive naturals, for example, 89384910254 + ... + 89384911373.

Almost surely, 2^{100111100111120} is an apocalyptic number.

100111100111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111100111120 is an abundant number, since it is smaller than the sum of its proper divisors (165898394471344).

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

100111100111120 is a wasteful number, since it uses less digits than its factorization.

100111100111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178769821647 (or 178769821641 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100111100111120 its reverse (21111001111001), we get a palindrome (121222101222121).

The spelling of 100111100111120 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred eleven thousand, one hundred twenty".