1011001000000 has 98 divisors (see below), whose sum is σ = 2507726767874. Its totient is φ = 404400000000.

The previous prime is 1011000999961. The next prime is 1011001000001. The reversal of 1011001000000 is 1001101.

It can be written as a sum of positive squares in 7 ways, for example, as 1007630500864 + 3370499136 = 1003808^2 + 58056^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (1011001000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 494500 + ... + 1505500.

Almost surely, 2^{1011001000000} is an apocalyptic number.

1011001000000 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 1011001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253863383937).

1011001000000 is an abundant number, since it is smaller than the sum of its proper divisors (1496725767874).

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

1011001000000 is an frugal number, since it uses more digits than its factorization.

1011001000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011043 (or 1011008 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1011001000000 its reverse (1001101), we get a palindrome (1011002001101).

The spelling of 1011001000000 in words is "one trillion, eleven billion, one million", and thus it is an aban number and an uban number.