1100100000100 has 18 divisors (see below), whose sum is σ = 2387217000434. Its totient is φ = 440040000000.

The previous prime is 1100100000031. The next prime is 1100100000113. The reversal of 1100100000100 is 10000010011.

It can be written as a sum of positive squares in 3 ways, for example, as 53767406884 + 1046332593216 = 231878^2 + 1022904^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 1100100000100.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5500499901 + ... + 5500500100.

Almost surely, 2^{1100100000100} is an apocalyptic number.

1100100000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100100000100 is an abundant number, since it is smaller than the sum of its proper divisors (1287117000334).

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

1100100000100 is a wasteful number, since it uses less digits than its factorization.

1100100000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11001000015 (or 11001000008 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1100100000100 its reverse (10000010011), we get a palindrome (1110100010111).

The spelling of 1100100000100 in words is "one trillion, one hundred billion, one hundred million, one hundred", and thus it is an aban number.