101101100000000 has 648 divisors, whose sum is σ = 266238848060640. Its totient is φ = 38241280000000.

The previous prime is 101101099999993. The next prime is 101101100000009. The reversal of 101101100000000 is 1101101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101101100000000.

It is not an unprimeable number, because it can be changed into a prime (101101100000009) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 259899999806 + ... + 259900000194.

Almost surely, 2^{101101100000000} is an apocalyptic number.

101101100000000 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 101101100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133119424030320).

101101100000000 is an abundant number, since it is smaller than the sum of its proper divisors (165137748060640).

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

101101100000000 is an frugal number, since it uses more digits than its factorization.

101101100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 532 counting only the distinct ones).

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

Adding to 101101100000000 its reverse (1101101), we get a palindrome (101101101101101).

The spelling of 101101100000000 in words is "one hundred one trillion, one hundred one billion, one hundred million", and thus it is an aban number.