1220221110001 has 16 divisors (see below), whose sum is σ = 1293112535760. Its totient is φ = 1147453931520.

The previous prime is 1220221109981. The next prime is 1220221110013. The reversal of 1220221110001 is 1000111220221.

It can be written as a sum of positive squares in 8 ways, for example, as 57576482401 + 1162644627600 = 239951^2 + 1078260^2 .

It is a cyclic number.

It is not a de Polignac number, because 1220221110001 - 2⁵ = 1220221109969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1220221110041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117674545 + ... + 117684913.

It is an arithmetic number, because the mean of its divisors is an integer number (80819533485).

Almost surely, 2^{1220221110001} is an apocalyptic number.

It is an amenable number.

1220221110001 is a deficient number, since it is larger than the sum of its proper divisors (72891425759).

1220221110001 is a wasteful number, since it uses less digits than its factorization.

1220221110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15684.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1220221110001 its reverse (1000111220221), we get a palindrome (2220332330222).

The spelling of 1220221110001 in words is "one trillion, two hundred twenty billion, two hundred twenty-one million, one hundred ten thousand, one".