1100000101100 has 72 divisors (see below), whose sum is σ = 2586189192048. Its totient is φ = 404487014400.

The previous prime is 1100000101093. The next prime is 1100000101129. The reversal of 1100000101100 is 11010000011.

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 23 ways as a sum of consecutive naturals, for example, 7450841 + ... + 7597040.

It is an arithmetic number, because the mean of its divisors is an integer number (35919294334).

Almost surely, 2^{1100000101100} is an apocalyptic number.

1100000101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100000101100 is an abundant number, since it is smaller than the sum of its proper divisors (1486189090948).

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

1100000101100 is a wasteful number, since it uses less digits than its factorization.

1100000101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15047955 (or 15047948 counting only the distinct ones).

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

Adding to 1100000101100 its reverse (11010000011), we get a palindrome (1111010101111).

The spelling of 1100000101100 in words is "one trillion, one hundred billion, one hundred one thousand, one hundred".