2011010212200 has 192 divisors, whose sum is σ = 6868208531520. Its totient is φ = 482690560000.

The previous prime is 2011010212187. The next prime is 2011010212201. The reversal of 2011010212200 is 22120101102.

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

It is not an unprimeable number, because it can be changed into a prime (2011010212201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 841809 + ... + 2175008.

It is an arithmetic number, because the mean of its divisors is an integer number (35771919435).

Almost surely, 2^{2011010212200} is an apocalyptic number.

2011010212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011010212200 is an abundant number, since it is smaller than the sum of its proper divisors (4857198319320).

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

2011010212200 is a wasteful number, since it uses less digits than its factorization.

2011010212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016948 (or 3016939 counting only the distinct ones).

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

Adding to 2011010212200 its reverse (22120101102), we get a palindrome (2033130313302).

The spelling of 2011010212200 in words is "two trillion, eleven billion, ten million, two hundred twelve thousand, two hundred".