2011130010120 has 128 divisors (see below), whose sum is σ = 7522148643840. Its totient is φ = 417897143040.

The previous prime is 2011130010107. The next prime is 2011130010121. The reversal of 2011130010120 is 210100311102.

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 = 2011130010096 and 2011130010105.

It is not an unprimeable number, because it can be changed into a prime (2011130010121) 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, 108818142 + ... + 108836621.

It is an arithmetic number, because the mean of its divisors is an integer number (58766786280).

Almost surely, 2^{2011130010120} is an apocalyptic number.

2011130010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011130010120 is an abundant number, since it is smaller than the sum of its proper divisors (5511018633720).

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

2011130010120 is a wasteful number, since it uses less digits than its factorization.

2011130010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217654795 (or 217654791 counting only the distinct ones).

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

Adding to 2011130010120 its reverse (210100311102), we get a palindrome (2221230321222).

The spelling of 2011130010120 in words is "two trillion, eleven billion, one hundred thirty million, ten thousand, one hundred twenty".