11000122100001 has 6 divisors (see below), whose sum is σ = 15889065255570. Its totient is φ = 7333414733328.

The previous prime is 11000122099979. The next prime is 11000122100087. The reversal of 11000122100001 is 10000122100011.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6479310611601 + 4520811488400 = 2545449^2 + 2126220^2 .

It is not a de Polignac number, because 11000122100001 - 2⁹ = 11000122099489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1222235788889 = 11000122100001 / (1 + 1 + 0 + 0 + 0 + 1 + 2 + 2 + 1 + 0 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (11000112100001) 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 5 ways as a sum of consecutive naturals, for example, 611117894436 + ... + 611117894453.

It is an arithmetic number, because the mean of its divisors is an integer number (2648177542595).

Almost surely, 2^{11000122100001} is an apocalyptic number.

It is an amenable number.

11000122100001 is a deficient number, since it is larger than the sum of its proper divisors (4888943155569).

11000122100001 is a wasteful number, since it uses less digits than its factorization.

11000122100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222235788895 (or 1222235788892 counting only the distinct ones).

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

Adding to 11000122100001 its reverse (10000122100011), we get a palindrome (21000244200012).

The spelling of 11000122100001 in words is "eleven trillion, one hundred twenty-two million, one hundred thousand, one".