11101200000210 has 96 divisors (see below), whose sum is σ = 29232766967040. Its totient is φ = 2922418497024.

The previous prime is 11101200000173. The next prime is 11101200000259. The reversal of 11101200000210 is 1200000210111.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11101200000192 and 11101200000201.

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, 49850874 + ... + 50073066.

It is an arithmetic number, because the mean of its divisors is an integer number (304507989240).

Almost surely, 2^{11101200000210} is an apocalyptic number.

11101200000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101200000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14616383483520).

11101200000210 is an abundant number, since it is smaller than the sum of its proper divisors (18131566966830).

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

11101200000210 is a wasteful number, since it uses less digits than its factorization.

11101200000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229312 (or 229309 counting only the distinct ones).

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

Adding to 11101200000210 its reverse (1200000210111), we get a palindrome (12301200210321).

The spelling of 11101200000210 in words is "eleven trillion, one hundred one billion, two hundred million, two hundred ten", and thus it is an aban number.