10000000011000 has 128 divisors (see below), whose sum is σ = 31363352616960. Its totient is φ = 2652704912000.

The previous prime is 10000000010981. The next prime is 10000000011019. The reversal of 10000000011000 is 11000000001.

It is an interprime number because it is at equal distance from previous prime (10000000010981) and next prime (10000000011019).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

10000000011000 is a modest number, since divided by 11000 gives 1000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8153004 + ... + 9299003.

It is an arithmetic number, because the mean of its divisors is an integer number (245026192320).

Almost surely, 2^{10000000011000} is an apocalyptic number.

10000000011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000000011000 is an abundant number, since it is smaller than the sum of its proper divisors (21363352605960).

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

10000000011000 is a wasteful number, since it uses less digits than its factorization.

10000000011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17452222 (or 17452208 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 10000000011000 its reverse (11000000001), we get a palindrome (10011000011001).

The spelling of 10000000011000 in words is "ten trillion, eleven thousand".