2011122010020 has 48 divisors (see below), whose sum is σ = 5633228462400. Its totient is φ = 536100456576.

The previous prime is 2011122009977. The next prime is 2011122010021. The reversal of 2011122010020 is 200102211102.

It is a super-2 number, since 2×2011122010020² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2011122009978 and 2011122010005.

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 15 ways as a sum of consecutive naturals, for example, 6047527 + ... + 6371406.

It is an arithmetic number, because the mean of its divisors is an integer number (117358926300).

Almost surely, 2^{2011122010020} is an apocalyptic number.

2011122010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011122010020 is an abundant number, since it is smaller than the sum of its proper divisors (3622106452380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2011122010020 is a wasteful number, since it uses less digits than its factorization.

2011122010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12421644 (or 12421642 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2011122010020 its reverse (200102211102), we get a palindrome (2211224221122).

The spelling of 2011122010020 in words is "two trillion, eleven billion, one hundred twenty-two million, ten thousand, twenty".