2011020112200 has 768 divisors, whose sum is σ = 7276034304000. Its totient is φ = 454367232000.

The previous prime is 2011020112183. The next prime is 2011020112217. The reversal of 2011020112200 is 22110201102.

It is an interprime number because it is at equal distance from previous prime (2011020112183) and next prime (2011020112217).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2282655760 + ... + 2282656640.

It is an arithmetic number, because the mean of its divisors is an integer number (9474003000).

Almost surely, 2^{2011020112200} is an apocalyptic number.

2011020112200 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 2011020112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638017152000).

2011020112200 is an abundant number, since it is smaller than the sum of its proper divisors (5265014191800).

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

2011020112200 is a wasteful number, since it uses less digits than its factorization.

2011020112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2011020112200 its reverse (22110201102), we get a palindrome (2033130313302).

The spelling of 2011020112200 in words is "two trillion, eleven billion, twenty million, one hundred twelve thousand, two hundred".