11005620000100 has 144 divisors (see below), whose sum is σ = 28093423780800. Its totient is φ = 3698936064000.

The previous prime is 11005620000091. The next prime is 11005620000101. The reversal of 11005620000100 is 100002650011.

It is a happy number.

It is a super-2 number, since 2×11005620000100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11005620000101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5564865 + ... + 7278664.

It is an arithmetic number, because the mean of its divisors is an integer number (195093220700).

Almost surely, 2^{11005620000100} is an apocalyptic number.

11005620000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11005620000100 is an abundant number, since it is smaller than the sum of its proper divisors (17087803780700).

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

11005620000100 is a wasteful number, since it uses less digits than its factorization.

11005620000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12843614 (or 12843607 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 11005620000100 its reverse (100002650011), we get a palindrome (11105622650111).

The spelling of 11005620000100 in words is "eleven trillion, five billion, six hundred twenty million, one hundred", and thus it is an aban number.