220001112002101 has 2 divisors, whose sum is σ = 220001112002102. Its totient is φ = 220001112002100.

The previous prime is 220001112002053. The next prime is 220001112002107. The reversal of 220001112002101 is 101200211100022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131917743947025 + 88083368055076 = 11485545^2 + 9385274^2 .

It is a cyclic number.

It is not a de Polignac number, because 220001112002101 - 2²⁷ = 220000977784373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220001112002107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110000556001050 + 110000556001051.

It is an arithmetic number, because the mean of its divisors is an integer number (110000556001051).

Almost surely, 2^{220001112002101} is an apocalyptic number.

It is an amenable number.

220001112002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

220001112002101 is an equidigital number, since it uses as much as digits as its factorization.

220001112002101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 220001112002101 its reverse (101200211100022), we get a palindrome (321201323102123).

The spelling of 220001112002101 in words is "two hundred twenty trillion, one billion, one hundred twelve million, two thousand, one hundred one".