1011001011000 has 256 divisors, whose sum is σ = 3195329454720. Its totient is φ = 266112000000.

The previous prime is 1011001010977. The next prime is 1011001011011. The reversal of 1011001011000 is 1101001101.

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 1011001011000.

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, 102106050 + ... + 102115950.

Almost surely, 2^{1011001011000} is an apocalyptic number.

1011001011000 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 1011001011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597664727360).

1011001011000 is an abundant number, since it is smaller than the sum of its proper divisors (2184328443720).

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

1011001011000 is a wasteful number, since it uses less digits than its factorization.

1011001011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10363 (or 10349 counting only the distinct ones).

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

Adding to 1011001011000 its reverse (1101001101), we get a palindrome (1012102012101).

It can be divided in two parts, 101100101 and 1000, that added together give a palindrome (101101101).

The spelling of 1011001011000 in words is "one trillion, eleven billion, one million, eleven thousand".