11010221110100 has 108 divisors (see below), whose sum is σ = 26255457915540. Its totient is φ = 4002092236800.

The previous prime is 11010221110067. The next prime is 11010221110169. The reversal of 11010221110100 is 101112201011.

It can be written as a sum of positive squares in 18 ways, for example, as 2328877436356 + 8681343673744 = 1526066^2 + 2946412^2 .

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 5730461 + ... + 7406660.

Almost surely, 2^{11010221110100} is an apocalyptic number.

11010221110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010221110100 is an abundant number, since it is smaller than the sum of its proper divisors (15245236805440).

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

11010221110100 is a wasteful number, since it uses less digits than its factorization.

11010221110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13137198 (or 13137174 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11010221110100 its reverse (101112201011), we get a palindrome (11111333311111).

It can be divided in two parts, 1101022 and 1110100, that added together give a palindrome (2211122).

The spelling of 11010221110100 in words is "eleven trillion, ten billion, two hundred twenty-one million, one hundred ten thousand, one hundred".