101101101111000 has 192 divisors, whose sum is σ = 341873599111200. Its totient is φ = 26948311200000.

The previous prime is 101101101110963. The next prime is 101101101111011. The reversal of 101101101111000 is 111101101101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17763786 + ... + 22754214.

Almost surely, 2^{101101101111000} is an apocalyptic number.

101101101111000 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 101101101111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170936799555600).

101101101111000 is an abundant number, since it is smaller than the sum of its proper divisors (240772498000200).

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

101101101111000 is a wasteful number, since it uses less digits than its factorization.

101101101111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4992707 (or 4992690 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101101101111000 its reverse (111101101101), we get a palindrome (101212202212101).

It can be divided in two parts, 101101101 and 111000, that added together give a palindrome (101212101).

The spelling of 101101101111000 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one hundred eleven thousand".