1101001001000 has 32 divisors (see below), whose sum is σ = 2576342344680. Its totient is φ = 440400400000.

The previous prime is 1101001000993. The next prime is 1101001001017. The reversal of 1101001001000 is 1001001011.

It can be written as a sum of positive squares in 4 ways, for example, as 725675681956 + 375325319044 = 851866^2 + 612638^2 .

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550499501 + ... + 550501500.

Almost surely, 2^{1101001001000} is an apocalyptic number.

1101001001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101001001000 is an abundant number, since it is smaller than the sum of its proper divisors (1475341343680).

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

1101001001000 is a wasteful number, since it uses less digits than its factorization.

1101001001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101001022 (or 1101001008 counting only the distinct ones).

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

Adding to 1101001001000 its reverse (1001001011), we get a palindrome (1102002002011).

The spelling of 1101001001000 in words is "one trillion, one hundred one billion, one million, one thousand".