11010100101000 has 2048 divisors, whose sum is σ = 47703960944640. Its totient is φ = 2040256512000.

The previous prime is 11010100100983. The next prime is 11010100101031. The reversal of 11010100101000 is 10100101011.

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 self number, because there is not a number n which added to its sum of digits gives 11010100101000.

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 511 ways as a sum of consecutive naturals, for example, 21888866749 + ... + 21888867251.

It is an arithmetic number, because the mean of its divisors is an integer number (23292949680).

Almost surely, 2^{11010100101000} is an apocalyptic number.

11010100101000 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 11010100101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23851980472320).

11010100101000 is an abundant number, since it is smaller than the sum of its proper divisors (36693860843640).

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

11010100101000 is a wasteful number, since it uses less digits than its factorization.

11010100101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 778 counting only the distinct ones).

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

Adding to 11010100101000 its reverse (10100101011), we get a palindrome (11020200202011).

The spelling of 11010100101000 in words is "eleven trillion, ten billion, one hundred million, one hundred one thousand".