100111201111100 has 36 divisors (see below), whose sum is σ = 222293429825544. Its totient is φ = 39113213455680.

The previous prime is 100111201111043. The next prime is 100111201111121. The reversal of 100111201111100 is 1111102111001.

It is a happy number.

It is a super-3 number, since 3×100111201111100³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11640833039 + ... + 11640841638.

It is an arithmetic number, because the mean of its divisors is an integer number (6174817495154).

Almost surely, 2^{100111201111100} is an apocalyptic number.

100111201111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111201111100 is an abundant number, since it is smaller than the sum of its proper divisors (122182228714444).

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

100111201111100 is a wasteful number, since it uses less digits than its factorization.

100111201111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23281674734 (or 23281674727 counting only the distinct ones).

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

Adding to 100111201111100 its reverse (1111102111001), we get a palindrome (101222303222101).

Subtracting from 100111201111100 its reverse (1111102111001), we obtain a palindrome (99000099000099).

The spelling of 100111201111100 in words is "one hundred trillion, one hundred eleven billion, two hundred one million, one hundred eleven thousand, one hundred".