101100110000000 has 128 divisors (see below), whose sum is σ = 251762349627360. Its totient is φ = 40440040000000.

The previous prime is 101100109999961. The next prime is 101100110000089. The reversal of 101100110000000 is 11001101.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4944995 + ... + 15055005.

Almost surely, 2^{101100110000000} is an apocalyptic number.

101100110000000 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 101100110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125881174813680).

101100110000000 is an abundant number, since it is smaller than the sum of its proper divisors (150662239627360).

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

101100110000000 is an frugal number, since it uses more digits than its factorization.

101100110000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110060 (or 10110018 counting only the distinct ones).

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

Adding to 101100110000000 its reverse (11001101), we get a palindrome (101100121001101).

The spelling of 101100110000000 in words is "one hundred one trillion, one hundred billion, one hundred ten million", and thus it is an aban number.