11534022240100 has 36 divisors (see below), whose sum is σ = 25029334715364. Its totient is φ = 4613515540480.

The previous prime is 11534022240089. The next prime is 11534022240119. The reversal of 11534022240100 is 104222043511.

It can be written as a sum of positive squares in 6 ways, for example, as 2729176688484 + 8804845551616 = 1652022^2 + 2967296^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3909612 + ... + 6192988.

It is an arithmetic number, because the mean of its divisors is an integer number (695259297649).

Almost surely, 2^{11534022240100} is an apocalyptic number.

11534022240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11534022240100 is an abundant number, since it is smaller than the sum of its proper divisors (13495312475264).

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

11534022240100 is a wasteful number, since it uses less digits than its factorization.

11534022240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333904 (or 2333897 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 11534022240100 its reverse (104222043511), we get a palindrome (11638244283611).

The spelling of 11534022240100 in words is "eleven trillion, five hundred thirty-four billion, twenty-two million, two hundred forty thousand, one hundred".