11100110220221 has 48 divisors (see below), whose sum is σ = 12973851524592. Its totient is φ = 9456884490240.

The previous prime is 11100110220211. The next prime is 11100110220301. The reversal of 11100110220221 is 12202201100111.

It can be written as a sum of positive squares in 8 ways, for example, as 4587350076100 + 6512760144121 = 2141810^2 + 2552011^2 .

It is not a de Polignac number, because 11100110220221 - 2¹⁴ = 11100110203837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11100110220196 and 11100110220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100110220211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 998834561 + ... + 998845673.

It is an arithmetic number, because the mean of its divisors is an integer number (270288573429).

Almost surely, 2^{11100110220221} is an apocalyptic number.

11100110220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11100110220221 is a deficient number, since it is larger than the sum of its proper divisors (1873741304371).

11100110220221 is a wasteful number, since it uses less digits than its factorization.

11100110220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13182 (or 13171 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11100110220221 its reverse (12202201100111), we get a palindrome (23302311320332).

The spelling of 11100110220221 in words is "eleven trillion, one hundred billion, one hundred ten million, two hundred twenty thousand, two hundred twenty-one".