11010202444100 has 36 divisors (see below), whose sum is σ = 25297559266644. Its totient is φ = 4145017390080.

The previous prime is 11010202444051. The next prime is 11010202444123. The reversal of 11010202444100 is 144420201011.

It can be written as a sum of positive squares in 6 ways, for example, as 49176610564 + 10961025833536 = 221758^2 + 3310744^2 .

It is a super-2 number, since 2×11010202444100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3238293137 + ... + 3238296536.

It is an arithmetic number, because the mean of its divisors is an integer number (702709979629).

Almost surely, 2^{11010202444100} is an apocalyptic number.

11010202444100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010202444100 is an abundant number, since it is smaller than the sum of its proper divisors (14287356822544).

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

11010202444100 is a wasteful number, since it uses less digits than its factorization.

11010202444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6476589704 (or 6476589697 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11010202444100 its reverse (144420201011), we get a palindrome (11154622645111).

The spelling of 11010202444100 in words is "eleven trillion, ten billion, two hundred two million, four hundred forty-four thousand, one hundred".