1220211101101 has 8 divisors (see below), whose sum is σ = 1237366884600. Its totient is φ = 1203174870528.

The previous prime is 1220211101077. The next prime is 1220211101141. The reversal of 1220211101101 is 1011011120221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6305154025 + 1213905947076 = 79405^2 + 1101774^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1220211101101 - 2¹⁵ = 1220211068333 is a prime.

It is a super-2 number, since 2×1220211101101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220211101141) 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 7 ways as a sum of consecutive naturals, for example, 29867676 + ... + 29908501.

It is an arithmetic number, because the mean of its divisors is an integer number (154670860575).

Almost surely, 2^{1220211101101} is an apocalyptic number.

It is an amenable number.

1220211101101 is a deficient number, since it is larger than the sum of its proper divisors (17155783499).

1220211101101 is a wasteful number, since it uses less digits than its factorization.

1220211101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59776463.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1220211101101 its reverse (1011011120221), we get a palindrome (2231222221322).

The spelling of 1220211101101 in words is "one trillion, two hundred twenty billion, two hundred eleven million, one hundred one thousand, one hundred one".