11211010200 has 192 divisors, whose sum is σ = 41586400800. Its totient is φ = 2759616000.

The previous prime is 11211010169. The next prime is 11211010231. The reversal of 11211010200 is 201011211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11211010169) and next prime (11211010231).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9651 + ... + 150050.

Almost surely, 2^11211010200 is an apocalyptic number.

11211010200 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 11211010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20793200400).

11211010200 is an abundant number, since it is smaller than the sum of its proper divisors (30375390600).

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

11211010200 is a wasteful number, since it uses less digits than its factorization.

11211010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159739 (or 159724 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11211010200 its reverse (201011211), we get a palindrome (11412021411).

The spelling of 11211010200 in words is "eleven billion, two hundred eleven million, ten thousand, two hundred".