2011122001012 has 24 divisors (see below), whose sum is σ = 3622634555400. Its totient is φ = 976204615680.

The previous prime is 2011122000997. The next prime is 2011122001013. The reversal of 2011122001012 is 2101002211102.

It can be written as a sum of positive squares in 4 ways, for example, as 1219602174736 + 791519826276 = 1104356^2 + 889674^2 .

It is a super-2 number, since 2×2011122001012² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2011122000983 and 2011122001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011122001013) 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 7 ways as a sum of consecutive naturals, for example, 15065689 + ... + 15198592.

It is an arithmetic number, because the mean of its divisors is an integer number (150943106475).

Almost surely, 2^{2011122001012} is an apocalyptic number.

It is an amenable number.

2011122001012 is a deficient number, since it is larger than the sum of its proper divisors (1611512554388).

2011122001012 is a wasteful number, since it uses less digits than its factorization.

2011122001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30264771 (or 30264769 counting only the distinct ones).

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

Adding to 2011122001012 its reverse (2101002211102), we get a palindrome (4112124212114).

The spelling of 2011122001012 in words is "two trillion, eleven billion, one hundred twenty-two million, one thousand, twelve".