1100121000 has 512 divisors, whose sum is σ = 4148651520. Its totient is φ = 239616000.

The previous prime is 1100120999. The next prime is 1100121007. The reversal of 1100121000 is 1210011.

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 1100121000.

It is not an unprimeable number, because it can be changed into a prime (1100121007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 20756974 + ... + 20757026.

It is an arithmetic number, because the mean of its divisors is an integer number (8102835).

Almost surely, 2^1100121000 is an apocalyptic number.

1100121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074325760).

1100121000 is an abundant number, since it is smaller than the sum of its proper divisors (3048530520).

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

1100121000 is a wasteful number, since it uses less digits than its factorization.

1100121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

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

The square root of 1100121000 is about 33168.0719970275. The cubic root of 1100121000 is about 1032.3179643395.

Adding to 1100121000 its reverse (1210011), we get a palindrome (1101331011).

It can be divided in two parts, 1 and 100121000, that added together give a palindrome (100121001).

The spelling of 1100121000 in words is "one billion, one hundred million, one hundred twenty-one thousand".