11010121200 has 360 divisors, whose sum is σ = 42480197760. Its totient is φ = 2622412800.

The previous prime is 11010121163. The next prime is 11010121249. The reversal of 11010121200 is 212101011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1447006 + ... + 1454594.

Almost surely, 2^11010121200 is an apocalyptic number.

11010121200 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 11010121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21240098880).

11010121200 is an abundant number, since it is smaller than the sum of its proper divisors (31470076560).

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

11010121200 is a wasteful number, since it uses less digits than its factorization.

11010121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7657 (or 7643 counting only the distinct ones).

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

Adding to 11010121200 its reverse (212101011), we get a palindrome (11222222211).

The spelling of 11010121200 in words is "eleven billion, ten million, one hundred twenty-one thousand, two hundred".