11000001122001 has 128 divisors (see below), whose sum is σ = 17095647559680. Its totient is φ = 6982507022400.

The previous prime is 11000001121969. The next prime is 11000001122039. The reversal of 11000001122001 is 10022110000011.

It is a happy number.

It is not a de Polignac number, because 11000001122001 - 2⁵ = 11000001121969 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 (11000001122081) 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 127 ways as a sum of consecutive naturals, for example, 8994276676 + ... + 8994277898.

It is an arithmetic number, because the mean of its divisors is an integer number (133559746560).

Almost surely, 2^{11000001122001} is an apocalyptic number.

It is an amenable number.

11000001122001 is a deficient number, since it is larger than the sum of its proper divisors (6095646437679).

11000001122001 is a wasteful number, since it uses less digits than its factorization.

11000001122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2018 counting only the distinct ones).

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

Adding to 11000001122001 its reverse (10022110000011), we get a palindrome (21022111122012).

The spelling of 11000001122001 in words is "eleven trillion, one million, one hundred twenty-two thousand, one".