2220221100101 has 2 divisors, whose sum is σ = 2220221100102. Its totient is φ = 2220221100100.

The previous prime is 2220221100079. The next prime is 2220221100143. The reversal of 2220221100101 is 1010011220222.

2220221100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2131789804225 + 88431295876 = 1460065^2 + 297374^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220221100101 - 2⁶ = 2220221100037 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2220221100401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110110550050 + 1110110550051.

It is an arithmetic number, because the mean of its divisors is an integer number (1110110550051).

Almost surely, 2^{2220221100101} is an apocalyptic number.

It is an amenable number.

2220221100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220221100101 is an equidigital number, since it uses as much as digits as its factorization.

2220221100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2220221100101 its reverse (1010011220222), we get a palindrome (3230232320323).

The spelling of 2220221100101 in words is "two trillion, two hundred twenty billion, two hundred twenty-one million, one hundred thousand, one hundred one".