11012102000010 has 128 divisors (see below), whose sum is σ = 30928467744000. Its totient is φ = 2780447337216.

The previous prime is 11012101999993. The next prime is 11012102000021. The reversal of 11012102000010 is 1000020121011.

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 = 11012101999956 and 11012102000001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8577624 + ... + 9777516.

It is an arithmetic number, because the mean of its divisors is an integer number (241628654250).

Almost surely, 2^{11012102000010} is an apocalyptic number.

11012102000010 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 11012102000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15464233872000).

11012102000010 is an abundant number, since it is smaller than the sum of its proper divisors (19916365743990).

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

11012102000010 is a wasteful number, since it uses less digits than its factorization.

11012102000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201717 (or 1201711 counting only the distinct ones).

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

Adding to 11012102000010 its reverse (1000020121011), we get a palindrome (12012122121021).

The spelling of 11012102000010 in words is "eleven trillion, twelve billion, one hundred two million, ten", and thus it is an aban number.