2011110210100 has 72 divisors (see below), whose sum is σ = 4437350540000. Its totient is φ = 790987317120.

The previous prime is 2011110210091. The next prime is 2011110210103. The reversal of 2011110210100 is 10120111102.

It is a super-2 number, since 2×2011110210100² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011110210103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3390526 + ... + 3939274.

Almost surely, 2^{2011110210100} is an apocalyptic number.

2011110210100 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 2011110210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218675270000).

2011110210100 is an abundant number, since it is smaller than the sum of its proper divisors (2426240329900).

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

2011110210100 is a wasteful number, since it uses less digits than its factorization.

2011110210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549377 (or 549370 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2011110210100 its reverse (10120111102), we get a palindrome (2021230321202).

The spelling of 2011110210100 in words is "two trillion, eleven billion, one hundred ten million, two hundred ten thousand, one hundred".