11010211120200 has 576 divisors, whose sum is σ = 37447397856000. Its totient is φ = 2666463528960.

The previous prime is 11010211120193. The next prime is 11010211120213. The reversal of 11010211120200 is 202111201011.

It is a super-2 number, since 2×11010211120200² (a number of 27 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 17844750292 + ... + 17844750908.

It is an arithmetic number, because the mean of its divisors is an integer number (65012843500).

Almost surely, 2^{11010211120200} is an apocalyptic number.

11010211120200 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 11010211120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18723698928000).

11010211120200 is an abundant number, since it is smaller than the sum of its proper divisors (26437186735800).

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

11010211120200 is a wasteful number, since it uses less digits than its factorization.

11010211120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 748 counting only the distinct ones).

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

Adding to 11010211120200 its reverse (202111201011), we get a palindrome (11212322321211).

The spelling of 11010211120200 in words is "eleven trillion, ten billion, two hundred eleven million, one hundred twenty thousand, two hundred".