1000110001100 has 144 divisors (see below), whose sum is σ = 2494255357440. Its totient is φ = 340967232000.

The previous prime is 1000110001091. The next prime is 1000110001133. The reversal of 1000110001100 is 11000110001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94335800 + ... + 94346400.

It is an arithmetic number, because the mean of its divisors is an integer number (17321217760).

Almost surely, 2^{1000110001100} is an apocalyptic number.

1000110001100 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 1000110001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247127678720).

1000110001100 is an abundant number, since it is smaller than the sum of its proper divisors (1494145356340).

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

1000110001100 is a wasteful number, since it uses less digits than its factorization.

1000110001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11368 (or 11361 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1000110001100 its reverse (11000110001), we get a palindrome (1011110111101).

The spelling of 1000110001100 in words is "one trillion, one hundred ten million, one thousand, one hundred".