2011001220020 has 96 divisors (see below), whose sum is σ = 4565171826432. Its totient is φ = 739718074368.

The previous prime is 2011001219999. The next prime is 2011001220023. The reversal of 2011001220020 is 200221001102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2011001219983 and 2011001220010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011001220023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77503169 + ... + 77529111.

It is an arithmetic number, because the mean of its divisors is an integer number (47553873192).

Almost surely, 2^{2011001220020} is an apocalyptic number.

2011001220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011001220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282585913216).

2011001220020 is an abundant number, since it is smaller than the sum of its proper divisors (2554170606412).

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

2011001220020 is a wasteful number, since it uses less digits than its factorization.

2011001220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27081 (or 27079 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2011001220020 its reverse (200221001102), we get a palindrome (2211222221122).

The spelling of 2011001220020 in words is "two trillion, eleven billion, one million, two hundred twenty thousand, twenty".