420201101 has 2 divisors, whose sum is σ = 420201102. Its totient is φ = 420201100.

The previous prime is 420201073. The next prime is 420201113. The reversal of 420201101 is 101102024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 294088201 + 126112900 = 17149^2 + 11230^2 .

It is a cyclic number.

It is not a de Polignac number, because 420201101 - 2¹⁴ = 420184717 is a prime.

It is a super-2 number, since 2×420201101² = 353137930563224402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420201151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210100550 + 210100551.

It is an arithmetic number, because the mean of its divisors is an integer number (210100551).

Almost surely, 2^420201101 is an apocalyptic number.

It is an amenable number.

420201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

420201101 is an equidigital number, since it uses as much as digits as its factorization.

420201101 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 11.

The square root of 420201101 is about 20498.8073067679. The cubic root of 420201101 is about 749.0067450253.

Adding to 420201101 its reverse (101102024), we get a palindrome (521303125).

The spelling of 420201101 in words is "four hundred twenty million, two hundred one thousand, one hundred one".