11111011100010 has 128 divisors (see below), whose sum is σ = 29819815983360. Its totient is φ = 2943901594368.

The previous prime is 11111011100009. The next prime is 11111011100039. The reversal of 11111011100010 is 1000111011111.

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 = 11111011099965 and 11111011100001.

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, 158973192 + ... + 159043068.

It is an arithmetic number, because the mean of its divisors is an integer number (232967312370).

Almost surely, 2^{11111011100010} is an apocalyptic number.

11111011100010 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 11111011100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14909907991680).

11111011100010 is an abundant number, since it is smaller than the sum of its proper divisors (18708804883350).

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

11111011100010 is a wasteful number, since it uses less digits than its factorization.

11111011100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73669 (or 73663 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11111011100010 its reverse (1000111011111), we get a palindrome (12111122111121).

The spelling of 11111011100010 in words is "eleven trillion, one hundred eleven billion, eleven million, one hundred thousand, ten".