2011100200120 has 128 divisors (see below), whose sum is σ = 5042550205440. Its totient is φ = 715581181440.

The previous prime is 2011100200097. The next prime is 2011100200121. The reversal of 2011100200120 is 210020011102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2011100200097 and 2011100200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011100200121) 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, 116895439 + ... + 116912641.

It is an arithmetic number, because the mean of its divisors is an integer number (39394923480).

Almost surely, 2^{2011100200120} is an apocalyptic number.

2011100200120 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 2011100200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521275102720).

2011100200120 is an abundant number, since it is smaller than the sum of its proper divisors (3031450005320).

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

2011100200120 is a wasteful number, since it uses less digits than its factorization.

2011100200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22925 (or 22921 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2011100200120 its reverse (210020011102), we get a palindrome (2221120211222).

The spelling of 2011100200120 in words is "two trillion, eleven billion, one hundred million, two hundred thousand, one hundred twenty".