11111101010010 has 64 divisors (see below), whose sum is σ = 29672984741760. Its totient is φ = 2958622064640.

The previous prime is 11111101009993. The next prime is 11111101010081. The reversal of 11111101010010 is 1001010111111.

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 = 11111101009974 and 11111101010001.

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 31 ways as a sum of consecutive naturals, for example, 29941671 + ... + 30310490.

It is an arithmetic number, because the mean of its divisors is an integer number (463640386590).

Almost surely, 2^{11111101010010} is an apocalyptic number.

11111101010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11111101010010 is an abundant number, since it is smaller than the sum of its proper divisors (18561883731750).

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

11111101010010 is a wasteful number, since it uses less digits than its factorization.

11111101010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60252860 (or 60252854 counting only the distinct ones).

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

Adding to 11111101010010 its reverse (1001010111111), we get a palindrome (12112111121121).

The spelling of 11111101010010 in words is "eleven trillion, one hundred eleven billion, one hundred one million, ten thousand, ten".