11000420101 has 16 divisors (see below), whose sum is σ = 12687278400. Its totient is φ = 9432633600.

The previous prime is 11000420083. The next prime is 11000420111. The reversal of 11000420101 is 10102400011.

11000420101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11000420101 - 2¹⁷ = 11000289029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000420111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67060 + ... + 162781.

It is an arithmetic number, because the mean of its divisors is an integer number (792954900).

Almost surely, 2^11000420101 is an apocalyptic number.

11000420101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000420101 is a deficient number, since it is larger than the sum of its proper divisors (1686858299).

11000420101 is a wasteful number, since it uses less digits than its factorization.

11000420101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230100.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11000420101 its reverse (10102400011), we get a palindrome (21102820112).

The spelling of 11000420101 in words is "eleven billion, four hundred twenty thousand, one hundred one".