100101111001100 has 216 divisors, whose sum is σ = 241831721779200. Its totient is φ = 35932566384000.

The previous prime is 100101111001043. The next prime is 100101111001127. The reversal of 100101111001100 is 1100111101001.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8690081141 + ... + 8690092659.

Almost surely, 2^{100101111001100} is an apocalyptic number.

100101111001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101111001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120915860889600).

100101111001100 is an abundant number, since it is smaller than the sum of its proper divisors (141730610778100).

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

100101111001100 is a wasteful number, since it uses less digits than its factorization.

100101111001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20725 (or 20707 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100101111001100 its reverse (1100111101001), we get a palindrome (101201222102101).

Subtracting from 100101111001100 its reverse (1100111101001), we obtain a palindrome (99000999900099).

The spelling of 100101111001100 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one thousand, one hundred".