2011123010000 has 200 divisors, whose sum is σ = 5282000175144. Its totient is φ = 737141760000.

The previous prime is 2011123009967. The next prime is 2011123010011. The reversal of 2011123010000 is 103211102.

It can be written as a sum of positive squares in 20 ways, for example, as 1793306652736 + 217816357264 = 1339144^2 + 466708^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×2011123010000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17753540 + ... + 17866460.

Almost surely, 2^{2011123010000} is an apocalyptic number.

2011123010000 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 2011123010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641000087572).

2011123010000 is an abundant number, since it is smaller than the sum of its proper divisors (3270877165144).

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

2011123010000 is a wasteful number, since it uses less digits than its factorization.

2011123010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113099 (or 113078 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 2011123010000 its reverse (103211102), we get a palindrome (2011226221102).

The spelling of 2011123010000 in words is "two trillion, eleven billion, one hundred twenty-three million, ten thousand".