11012101013320 has 256 divisors, whose sum is σ = 28084001080320. Its totient is φ = 3851288985600.

The previous prime is 11012101013293. The next prime is 11012101013351. The reversal of 11012101013320 is 2331010121011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11012101013294 and 11012101013303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1560447232 + ... + 1560454288.

It is an arithmetic number, because the mean of its divisors is an integer number (109703129220).

Almost surely, 2^{11012101013320} is an apocalyptic number.

11012101013320 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 11012101013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14042000540160).

11012101013320 is an abundant number, since it is smaller than the sum of its proper divisors (17071900067000).

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

11012101013320 is a wasteful number, since it uses less digits than its factorization.

11012101013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8424 (or 8420 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11012101013320 its reverse (2331010121011), we get a palindrome (13343111134331).

The spelling of 11012101013320 in words is "eleven trillion, twelve billion, one hundred one million, thirteen thousand, three hundred twenty".