2012011122001 has 16 divisors (see below), whose sum is σ = 2087359722000. Its totient is φ = 1937855916288.

The previous prime is 2012011121999. The next prime is 2012011122029. The reversal of 2012011122001 is 1002211102102.

It can be written as a sum of positive squares in 8 ways, for example, as 16998944400 + 1995012177601 = 130380^2 + 1412449^2 .

It is not a de Polignac number, because 2012011122001 - 2¹ = 2012011121999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2012011122091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 992515 + ... + 2238103.

It is an arithmetic number, because the mean of its divisors is an integer number (130459982625).

Almost surely, 2^{2012011122001} is an apocalyptic number.

It is an amenable number.

2012011122001 is a deficient number, since it is larger than the sum of its proper divisors (75348599999).

2012011122001 is a wasteful number, since it uses less digits than its factorization.

2012011122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246068.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2012011122001 its reverse (1002211102102), we get a palindrome (3014222224103).

The spelling of 2012011122001 in words is "two trillion, twelve billion, eleven million, one hundred twenty-two thousand, one".