220101100001 has 2 divisors, whose sum is σ = 220101100002. Its totient is φ = 220101100000.

The previous prime is 220101099971. The next prime is 220101100007. The reversal of 220101100001 is 100001101022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211696611025 + 8404488976 = 460105^2 + 91676^2 .

It is a cyclic number.

It is not a de Polignac number, because 220101100001 - 2⁶ = 220101099937 is a prime.

It is not a weakly prime, because it can be changed into another prime (220101100007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110050550000 + 110050550001.

It is an arithmetic number, because the mean of its divisors is an integer number (110050550001).

Almost surely, 2^220101100001 is an apocalyptic number.

It is an amenable number.

220101100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

220101100001 is an equidigital number, since it uses as much as digits as its factorization.

220101100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 220101100001 its reverse (100001101022), we get a palindrome (320102201023).

The spelling of 220101100001 in words is "two hundred twenty billion, one hundred one million, one hundred thousand, one".