1101100101100 has 72 divisors (see below), whose sum is σ = 2596278272000. Its totient is φ = 403798996800.

The previous prime is 1101100101091. The next prime is 1101100101109. The reversal of 1101100101100 is 11010011011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1101100101091) and next prime (1101100101109).

It is not an unprimeable number, because it can be changed into a prime (1101100101109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9288300 + ... + 9406099.

Almost surely, 2^{1101100101100} is an apocalyptic number.

1101100101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101100101100 is an abundant number, since it is smaller than the sum of its proper divisors (1495178170900).

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

1101100101100 is a wasteful number, since it uses less digits than its factorization.

1101100101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18694463 (or 18694456 counting only the distinct ones).

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

Adding to 1101100101100 its reverse (11010011011), we get a palindrome (1112110112111).

The spelling of 1101100101100 in words is "one trillion, one hundred one billion, one hundred million, one hundred one thousand, one hundred".