2011122010001 has 4 divisors (see below), whose sum is σ = 2165823703092. Its totient is φ = 1856420316912.

The previous prime is 2011122009977. The next prime is 2011122010021. The reversal of 2011122010001 is 1000102211102.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 648822195025 + 1362299814976 = 805495^2 + 1167176^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011122010001 - 2¹⁸ = 2011121747857 is a prime.

It is a super-2 number, since 2×2011122010001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011122010021) 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 3 ways as a sum of consecutive naturals, for example, 77350846526 + ... + 77350846551.

It is an arithmetic number, because the mean of its divisors is an integer number (541455925773).

Almost surely, 2^{2011122010001} is an apocalyptic number.

It is an amenable number.

2011122010001 is a deficient number, since it is larger than the sum of its proper divisors (154701693091).

2011122010001 is a wasteful number, since it uses less digits than its factorization.

2011122010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154701693090.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2011122010001 its reverse (1000102211102), we get a palindrome (3011224221103).

The spelling of 2011122010001 in words is "two trillion, eleven billion, one hundred twenty-two million, ten thousand, one".