1011100001000 has 64 divisors (see below), whose sum is σ = 2366665713360. Its totient is φ = 404321760000.

The previous prime is 1011100000987. The next prime is 1011100001011. The reversal of 1011100001000 is 1000011101.

It can be written as a sum of positive squares in 8 ways, for example, as 5335718116 + 1005764282884 = 73046^2 + 1002878^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3314930 + ... + 3607070.

Almost surely, 2^{1011100001000} is an apocalyptic number.

1011100001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011100001000 is an abundant number, since it is smaller than the sum of its proper divisors (1355565712360).

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

1011100001000 is a wasteful number, since it uses less digits than its factorization.

1011100001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295623 (or 295609 counting only the distinct ones).

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

Adding to 1011100001000 its reverse (1000011101), we get a palindrome (1012100012101).

The spelling of 1011100001000 in words is "one trillion, eleven billion, one hundred million, one thousand".