11000105501 has 48 divisors (see below), whose sum is σ = 14396963328. Its totient is φ = 8305970400.

The previous prime is 11000105497. The next prime is 11000105579. The reversal of 11000105501 is 10550100011.

It is not a de Polignac number, because 11000105501 - 2² = 11000105497 is a prime.

It is a super-2 number, since 2×11000105501² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000105591) 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, 3034376 + ... + 3037998.

It is an arithmetic number, because the mean of its divisors is an integer number (299936736).

Almost surely, 2^11000105501 is an apocalyptic number.

11000105501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000105501 is a deficient number, since it is larger than the sum of its proper divisors (3396857827).

11000105501 is a wasteful number, since it uses less digits than its factorization.

11000105501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 11000105501 its reverse (10550100011), we get a palindrome (21550205512).

The spelling of 11000105501 in words is "eleven billion, one hundred five thousand, five hundred one".