101101110000000 has 512 divisors, whose sum is σ = 366204562513920. Its totient is φ = 24509280000000.

The previous prime is 101101109999969. The next prime is 101101110000047. The reversal of 101101110000000 is 11101101.

101101110000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329846817 + ... + 330153183.

It is an arithmetic number, because the mean of its divisors is an integer number (715243286160).

Almost surely, 2^{101101110000000} is an apocalyptic number.

101101110000000 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 101101110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183102281256960).

101101110000000 is an abundant number, since it is smaller than the sum of its proper divisors (265103452513920).

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

101101110000000 is an frugal number, since it uses more digits than its factorization.

101101110000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306430 (or 306388 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101101110000000 its reverse (11101101), we get a palindrome (101101121101101).

It can be divided in two parts, 1011011 and 10000000, that added together give a palindrome (11011011).

The spelling of 101101110000000 in words is "one hundred one trillion, one hundred one billion, one hundred ten million", and thus it is an aban number.