10011200200110 has 144 divisors (see below), whose sum is σ = 27478275589440. Its totient is φ = 2528491800960.

The previous prime is 10011200200081. The next prime is 10011200200121. The reversal of 10011200200110 is 1100200211001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10011200200092 and 10011200200101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132488940 + ... + 132564480.

It is an arithmetic number, because the mean of its divisors is an integer number (190821358260).

Almost surely, 2^{10011200200110} is an apocalyptic number.

10011200200110 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 10011200200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13739137794720).

10011200200110 is an abundant number, since it is smaller than the sum of its proper divisors (17467075389330).

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

10011200200110 is a wasteful number, since it uses less digits than its factorization.

10011200200110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79671 (or 79649 counting only the distinct ones).

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

Adding to 10011200200110 its reverse (1100200211001), we get a palindrome (11111400411111).

The spelling of 10011200200110 in words is "ten trillion, eleven billion, two hundred million, two hundred thousand, one hundred ten".