1101111000100 has 36 divisors (see below), whose sum is σ = 2529964454724. Its totient is φ = 414535905280.

The previous prime is 1101111000001. The next prime is 1101111000109. The reversal of 1101111000100 is 10001111011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 70691110884 + 1030419889216 = 265878^2 + 1015096^2 .

It is not an unprimeable number, because it can be changed into a prime (1101111000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323854477 + ... + 323857876.

It is an arithmetic number, because the mean of its divisors is an integer number (70276790409).

Almost surely, 2^{1101111000100} is an apocalyptic number.

1101111000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101111000100 is an abundant number, since it is smaller than the sum of its proper divisors (1428853454624).

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

1101111000100 is a wasteful number, since it uses less digits than its factorization.

1101111000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647712384 (or 647712377 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1101111000100 its reverse (10001111011), we get a palindrome (1111112111111).

The spelling of 1101111000100 in words is "one trillion, one hundred one billion, one hundred eleven million, one hundred", and thus it is an aban number.