1011220110221 has 6 divisors (see below), whose sum is σ = 1025262203850. Its totient is φ = 997367774688.

The previous prime is 1011220110193. The next prime is 1011220110233. The reversal of 1011220110221 is 1220110221101.

It can be written as a sum of positive squares in 3 ways, for example, as 262543512100 + 748676598121 = 512390^2 + 865261^2 .

It is not a de Polignac number, because 1011220110221 - 2⁶ = 1011220110157 is a prime.

It is a super-2 number, since 2×1011220110221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011220110196 and 1011220110205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011220110421) 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 5 ways as a sum of consecutive naturals, for example, 94873646 + ... + 94884303.

It is an arithmetic number, because the mean of its divisors is an integer number (170877033975).

Almost surely, 2^{1011220110221} is an apocalyptic number.

It is an amenable number.

1011220110221 is a deficient number, since it is larger than the sum of its proper divisors (14042093629).

1011220110221 is an frugal number, since it uses more digits than its factorization.

1011220110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189758095 (or 189758022 counting only the distinct ones).

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

Adding to 1011220110221 its reverse (1220110221101), we get a palindrome (2231330331322).

It can be divided in two parts, 101 and 1220110221, that multiplied together give a palindrome (123231132321).

The spelling of 1011220110221 in words is "one trillion, eleven billion, two hundred twenty million, one hundred ten thousand, two hundred twenty-one".