11000022121011 has 64 divisors (see below), whose sum is σ = 18336134218752. Its totient is φ = 5698560000000.

The previous prime is 11000022121003. The next prime is 11000022121019. The reversal of 11000022121011 is 11012122000011.

It is an interprime number because it is at equal distance from previous prime (11000022121003) and next prime (11000022121019).

It is not a de Polignac number, because 11000022121011 - 2³ = 11000022121003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11000022121019) 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 63 ways as a sum of consecutive naturals, for example, 415066261 + ... + 415092761.

It is an arithmetic number, because the mean of its divisors is an integer number (286502097168).

Almost surely, 2^{11000022121011} is an apocalyptic number.

11000022121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000022121011 is a deficient number, since it is larger than the sum of its proper divisors (7336112097741).

11000022121011 is a wasteful number, since it uses less digits than its factorization.

11000022121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31404.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11000022121011 its reverse (11012122000011), we get a palindrome (22012144121022).

The spelling of 11000022121011 in words is "eleven trillion, twenty-two million, one hundred twenty-one thousand, eleven".