2011102010120 has 32 divisors (see below), whose sum is σ = 5171405169600. Its totient is φ = 689520689088.

The previous prime is 2011102010101. The next prime is 2011102010129. The reversal of 2011102010120 is 210102011102.

It is not an unprimeable number, because it can be changed into a prime (2011102010129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3591253310 + ... + 3591253869.

It is an arithmetic number, because the mean of its divisors is an integer number (161606411550).

Almost surely, 2^{2011102010120} is an apocalyptic number.

2011102010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011102010120 is an abundant number, since it is smaller than the sum of its proper divisors (3160303159480).

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

2011102010120 is a wasteful number, since it uses less digits than its factorization.

2011102010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7182507197 (or 7182507193 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2011102010120 its reverse (210102011102), we get a palindrome (2221204021222).

The spelling of 2011102010120 in words is "two trillion, eleven billion, one hundred two million, ten thousand, one hundred twenty".