11012011210200 has 2304 divisors, whose sum is σ = 48116320358400. Its totient is φ = 2011375411200.

The previous prime is 11012011210177. The next prime is 11012011210243. The reversal of 11012011210200 is 201211021011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 48511062487 + ... + 48511062713.

It is an arithmetic number, because the mean of its divisors is an integer number (20883819600).

Almost surely, 2^{11012011210200} is an apocalyptic number.

11012011210200 is a gapful number since it is divisible by the number (10) 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 11012011210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24058160179200).

11012011210200 is an abundant number, since it is smaller than the sum of its proper divisors (37104309148200).

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

11012011210200 is a wasteful number, since it uses less digits than its factorization.

11012011210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11012011210200 its reverse (201211021011), we get a palindrome (11213222231211).

It can be divided in two parts, 11012011 and 210200, that added together give a palindrome (11222211).

The spelling of 11012011210200 in words is "eleven trillion, twelve billion, eleven million, two hundred ten thousand, two hundred".