10111100000010 has 256 divisors, whose sum is σ = 25677969408000. Its totient is φ = 2544592748544.

The previous prime is 10111100000009. The next prime is 10111100000069. The reversal of 10111100000010 is 1000000111101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2497182466 + ... + 2497186514.

It is an arithmetic number, because the mean of its divisors is an integer number (100304568000).

Almost surely, 2^{10111100000010} is an apocalyptic number.

10111100000010 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 10111100000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12838984704000).

10111100000010 is an abundant number, since it is smaller than the sum of its proper divisors (15566869407990).

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

10111100000010 is a wasteful number, since it uses less digits than its factorization.

10111100000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10111100000010 its reverse (1000000111101), we get a palindrome (11111100111111).

It can be divided in two parts, 101 and 11100000010, that added together give a palindrome (11100000111).

The spelling of 10111100000010 in words is "ten trillion, one hundred eleven billion, one hundred million, ten", and thus it is an aban number.