101110101110000 has 200 divisors, whose sum is σ = 247270827606528. Its totient is φ = 40035600000000.

The previous prime is 101110101109903. The next prime is 101110101110003. The reversal of 101110101110000 is 11101011101.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101110101110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110101110003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10000004945 + ... + 10000015055.

Almost surely, 2^{101110101110000} is an apocalyptic number.

101110101110000 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 101110101110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123635413803264).

101110101110000 is an abundant number, since it is smaller than the sum of its proper divisors (146160726496528).

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

101110101110000 is a wasteful number, since it uses less digits than its factorization.

101110101110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20141 (or 20120 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101110101110000 its reverse (11101011101), we get a palindrome (101121202121101).

The spelling of 101110101110000 in words is "one hundred one trillion, one hundred ten billion, one hundred one million, one hundred ten thousand".