2011120220010 has 256 divisors, whose sum is σ = 5421404805120. Its totient is φ = 473350824960.

The previous prime is 2011120219993. The next prime is 2011120220047. The reversal of 2011120220010 is 100220211102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 528822769 + ... + 528826571.

It is an arithmetic number, because the mean of its divisors is an integer number (21177362520).

Almost surely, 2^{2011120220010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011120220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710702402560).

2011120220010 is an abundant number, since it is smaller than the sum of its proper divisors (3410284585110).

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

2011120220010 is a wasteful number, since it uses less digits than its factorization.

2011120220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213.

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

Adding to 2011120220010 its reverse (100220211102), we get a palindrome (2111340431112).

It can be divided in two parts, 2011 and 120220010, that added together give a palindrome (120222021).

The spelling of 2011120220010 in words is "two trillion, eleven billion, one hundred twenty million, two hundred twenty thousand, ten".