11210121000 has 192 divisors, whose sum is σ = 40805266320. Its totient is φ = 2759385600.

The previous prime is 11210120983. The next prime is 11210121019. The reversal of 11210121000 is 12101211.

It is a happy number.

11210121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 953697924 + 10256423076 = 30882^2 + 101274^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 69094 + ... + 164906.

Almost surely, 2^11210121000 is an apocalyptic number.

11210121000 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 11210121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20402633160).

11210121000 is an abundant number, since it is smaller than the sum of its proper divisors (29595145320).

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

11210121000 is a wasteful number, since it uses less digits than its factorization.

11210121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95853 (or 95836 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11210121000 its reverse (12101211), we get a palindrome (11222222211).

The spelling of 11210121000 in words is "eleven billion, two hundred ten million, one hundred twenty-one thousand".