11200010111010 has 192 divisors, whose sum is σ = 33363225043200. Its totient is φ = 2553606752256.

The previous prime is 11200010110987. The next prime is 11200010111021. The reversal of 11200010111010 is 1011101000211.

11200010111010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11200010110983 and 11200010111001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1155946246 + ... + 1155955934.

It is an arithmetic number, because the mean of its divisors is an integer number (173766797100).

Almost surely, 2^{11200010111010} is an apocalyptic number.

11200010111010 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 11200010111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16681612521600).

11200010111010 is an abundant number, since it is smaller than the sum of its proper divisors (22163214932190).

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

11200010111010 is a wasteful number, since it uses less digits than its factorization.

11200010111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14105 (or 14102 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11200010111010 its reverse (1011101000211), we get a palindrome (12211111111221).

The spelling of 11200010111010 in words is "eleven trillion, two hundred billion, ten million, one hundred eleven thousand, ten".