1101010011000 has 128 divisors (see below), whose sum is σ = 3473749281600. Its totient is φ = 290303692800.

The previous prime is 1101010010983. The next prime is 1101010011001. The reversal of 1101010011000 is 1100101011.

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 1101010011000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101010011001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1794817 + ... + 2328816.

Almost surely, 2^{1101010011000} is an apocalyptic number.

1101010011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101010011000 is an abundant number, since it is smaller than the sum of its proper divisors (2372739270600).

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

1101010011000 is a wasteful number, since it uses less digits than its factorization.

1101010011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123746 (or 4123732 counting only the distinct ones).

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

Adding to 1101010011000 its reverse (1100101011), we get a palindrome (1102110112011).

The spelling of 1101010011000 in words is "one trillion, one hundred one billion, ten million, eleven thousand".