1101111110100 has 108 divisors (see below), whose sum is σ = 3452490497820. Its totient is φ = 293534438400.

The previous prime is 1101111110063. The next prime is 1101111110123. The reversal of 1101111110100 is 10111111011.

It can be written as a sum of positive squares in 6 ways, for example, as 105997127184 + 995113982916 = 325572^2 + 997554^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2601340 + ... + 2994860.

Almost surely, 2^{1101111110100} is an apocalyptic number.

1101111110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101111110100 is an abundant number, since it is smaller than the sum of its proper divisors (2351379387720).

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

1101111110100 is a wasteful number, since it uses less digits than its factorization.

1101111110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396650 (or 396640 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1101111110100 its reverse (10111111011), we get a palindrome (1111222221111).

The spelling of 1101111110100 in words is "one trillion, one hundred one billion, one hundred eleven million, one hundred ten thousand, one hundred".