111011122100010 has 256 divisors, whose sum is σ = 302916085088256. Its totient is φ = 25792674720000.

The previous prime is 111011122099981. The next prime is 111011122100033. The reversal of 111011122100010 is 10001221110111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4281006745 + ... + 4281032675.

It is an arithmetic number, because the mean of its divisors is an integer number (1183265957376).

Almost surely, 2^{111011122100010} is an apocalyptic number.

111011122100010 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 111011122100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151458042544128).

111011122100010 is an abundant number, since it is smaller than the sum of its proper divisors (191904962988246).

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

111011122100010 is a wasteful number, since it uses less digits than its factorization.

111011122100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30001.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111011122100010 its reverse (10001221110111), we get a palindrome (121012343210121).

The spelling of 111011122100010 in words is "one hundred eleven trillion, eleven billion, one hundred twenty-two million, one hundred thousand, ten".