11010001122001 has 6 divisors (see below), whose sum is σ = 12807552325650. Its totient is φ = 9437143818816.

The previous prime is 11010001121993. The next prime is 11010001122013. The reversal of 11010001122001 is 10022110001011.

It can be written as a sum of positive squares in only one way, i.e., 10241126430976 + 768874691025 = 3200176^2 + 876855^2 .

It is not a de Polignac number, because 11010001122001 - 2³ = 11010001121993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11010001122091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112346950176 + ... + 112346950273.

It is an arithmetic number, because the mean of its divisors is an integer number (2134592054275).

Almost surely, 2^{11010001122001} is an apocalyptic number.

It is an amenable number.

11010001122001 is a deficient number, since it is larger than the sum of its proper divisors (1797551203649).

11010001122001 is an equidigital number, since it uses as much as digits as its factorization.

11010001122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224693900463 (or 224693900456 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11010001122001 its reverse (10022110001011), we get a palindrome (21032111123012).

The spelling of 11010001122001 in words is "eleven trillion, ten billion, one million, one hundred twenty-two thousand, one".