420414101 has 2 divisors, whose sum is σ = 420414102. Its totient is φ = 420414100.

The previous prime is 420414061. The next prime is 420414109. The reversal of 420414101 is 101414024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 398800900 + 21613201 = 19970^2 + 4649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-420414101 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 420414101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420414109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210207050 + 210207051.

It is an arithmetic number, because the mean of its divisors is an integer number (210207051).

Almost surely, 2^420414101 is an apocalyptic number.

It is an amenable number.

420414101 is a deficient number, since it is larger than the sum of its proper divisors (1).

420414101 is an equidigital number, since it uses as much as digits as its factorization.

420414101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 420414101 is about 20504.0020727662. The cubic root of 420414101 is about 749.1332808571.

Adding to 420414101 its reverse (101414024), we get a palindrome (521828125).

The spelling of 420414101 in words is "four hundred twenty million, four hundred fourteen thousand, one hundred one".