100111121211120 has 40 divisors (see below), whose sum is σ = 310344475755216. Its totient is φ = 26696298989568.

The previous prime is 100111121211109. The next prime is 100111121211121. The reversal of 100111121211120 is 21112121111001.

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

It is a super-2 number, since 2×100111121211120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100111121211120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111121211121) 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, 208564835617 + ... + 208564836096.

Almost surely, 2^{100111121211120} is an apocalyptic number.

100111121211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111121211120 is an abundant number, since it is smaller than the sum of its proper divisors (210233354544096).

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

100111121211120 is a wasteful number, since it uses less digits than its factorization.

100111121211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417129671729 (or 417129671723 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 100111121211120 its reverse (21112121111001), we get a palindrome (121223242322121).

The spelling of 100111121211120 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty".