11010010110100 has 72 divisors (see below), whose sum is σ = 24068830980600. Its totient is φ = 4371364485120.

The previous prime is 11010010110097. The next prime is 11010010110103. The reversal of 11010010110100 is 101101001011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11010010110097) and next prime (11010010110103).

It can be written as a sum of positive squares in 12 ways, for example, as 391457943556 + 10618552166544 = 625666^2 + 3258612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010010110103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136260912 + ... + 136341688.

It is an arithmetic number, because the mean of its divisors is an integer number (334289319175).

Almost surely, 2^{11010010110100} is an apocalyptic number.

11010010110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11010010110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12034415490300).

11010010110100 is an abundant number, since it is smaller than the sum of its proper divisors (13058820870500).

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

11010010110100 is a wasteful number, since it uses less digits than its factorization.

11010010110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90877 (or 90870 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11010010110100 its reverse (101101001011), we get a palindrome (11111111111111).

The spelling of 11010010110100 in words is "eleven trillion, ten billion, ten million, one hundred ten thousand, one hundred".