11001100101150 has 288 divisors, whose sum is σ = 29574591890688. Its totient is φ = 2701036800000.

The previous prime is 11001100101149. The next prime is 11001100101151. The reversal of 11001100101150 is 5110100110011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11001100101149) and next prime (11001100101151).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001100101151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 977783025 + ... + 977794275.

It is an arithmetic number, because the mean of its divisors is an integer number (102689555176).

Almost surely, 2^{11001100101150} is an apocalyptic number.

11001100101150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001100101150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14787295945344).

11001100101150 is an abundant number, since it is smaller than the sum of its proper divisors (18573491789538).

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

11001100101150 is a wasteful number, since it uses less digits than its factorization.

11001100101150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11684 (or 11650 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 12.

Adding to 11001100101150 its reverse (5110100110011), we get a palindrome (16111200211161).

The spelling of 11001100101150 in words is "eleven trillion, one billion, one hundred million, one hundred one thousand, one hundred fifty".