2011120202120 has 128 divisors (see below), whose sum is σ = 4852848036960. Its totient is φ = 747424972800.

The previous prime is 2011120202083. The next prime is 2011120202233. The reversal of 2011120202120 is 212020211102.

It can be written as a sum of positive squares in 16 ways, for example, as 1101412468324 + 909707733796 = 1049482^2 + 953786^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2011120202095 and 2011120202104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26147720 + ... + 26224520.

Almost surely, 2^{2011120202120} is an apocalyptic number.

2011120202120 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 2011120202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426424018480).

2011120202120 is an abundant number, since it is smaller than the sum of its proper divisors (2841727834840).

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

2011120202120 is a wasteful number, since it uses less digits than its factorization.

2011120202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77323 (or 77319 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2011120202120 its reverse (212020211102), we get a palindrome (2223140413222).

The spelling of 2011120202120 in words is "two trillion, eleven billion, one hundred twenty million, two hundred two thousand, one hundred twenty".