11000121000 has 128 divisors (see below), whose sum is σ = 37440524160. Its totient is φ = 2666688000.

The previous prime is 11000120987. The next prime is 11000121001. The reversal of 11000121000 is 12100011.

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.

11000121000 is a modest number, since divided by 121000 gives 11000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 11000121000.

It is not an unprimeable number, because it can be changed into a prime (11000121001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133669 + ... + 199668.

It is an arithmetic number, because the mean of its divisors is an integer number (292504095).

Almost surely, 2^11000121000 is an apocalyptic number.

11000121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000121000 is an abundant number, since it is smaller than the sum of its proper divisors (26440403160).

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

11000121000 is a wasteful number, since it uses less digits than its factorization.

11000121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333372 (or 333358 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11000121000 its reverse (12100011), we get a palindrome (11012221011).

It can be divided in two parts, 11000 and 121000, that multiplied together give a cube (1331000000 = 1100³).

The spelling of 11000121000 in words is "eleven billion, one hundred twenty-one thousand".