110011110100100 has 216 divisors, whose sum is σ = 270901910001408. Its totient is φ = 38708128800000.

The previous prime is 110011110100091. The next prime is 110011110100127. The reversal of 110011110100100 is 1001011110011.

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, 3410017970 + ... + 3410050230.

Almost surely, 2^{110011110100100} is an apocalyptic number.

110011110100100 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 110011110100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135450955000704).

110011110100100 is an abundant number, since it is smaller than the sum of its proper divisors (160890799901308).

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

110011110100100 is a wasteful number, since it uses less digits than its factorization.

110011110100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41419 (or 41401 counting only the distinct ones).

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

Adding to 110011110100100 its reverse (1001011110011), we get a palindrome (111012121210111).

It can be divided in two parts, 1100111 and 10100100, that added together give a palindrome (11200211).

The spelling of 110011110100100 in words is "one hundred ten trillion, eleven billion, one hundred ten million, one hundred thousand, one hundred".