11122010000001 has 24 divisors (see below), whose sum is σ = 17047031385384. Its totient is φ = 6963378255360.

The previous prime is 11122009999963. The next prime is 11122010000029. The reversal of 11122010000001 is 10000001022111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4578748319601 + 6543261680400 = 2139801^2 + 2557980^2 .

It is not a de Polignac number, because 11122010000001 - 2¹⁷ = 11122009868929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11122010000051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78772066 + ... + 78913131.

It is an arithmetic number, because the mean of its divisors is an integer number (710292974391).

Almost surely, 2^{11122010000001} is an apocalyptic number.

It is an amenable number.

11122010000001 is a deficient number, since it is larger than the sum of its proper divisors (5925021385383).

11122010000001 is a wasteful number, since it uses less digits than its factorization.

11122010000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157685681 (or 157685678 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11122010000001 its reverse (10000001022111), we get a palindrome (21122011022112).

The spelling of 11122010000001 in words is "eleven trillion, one hundred twenty-two billion, ten million, one", and thus it is an aban number.