11006521124100 has 288 divisors, whose sum is σ = 33425715783936. Its totient is φ = 2790982656000.

The previous prime is 11006521124069. The next prime is 11006521124107. The reversal of 11006521124100 is 142112560011.

It is a super-2 number, since 2×11006521124100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11006521124107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 873457800 + ... + 873470400.

Almost surely, 2^{11006521124100} is an apocalyptic number.

11006521124100 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 11006521124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16712857891968).

11006521124100 is an abundant number, since it is smaller than the sum of its proper divisors (22419194659836).

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

11006521124100 is a wasteful number, since it uses less digits than its factorization.

11006521124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13375 (or 13368 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 11006521124100 its reverse (142112560011), we get a palindrome (11148633684111).

The spelling of 11006521124100 in words is "eleven trillion, six billion, five hundred twenty-one million, one hundred twenty-four thousand, one hundred".