420000101 has 2 divisors, whose sum is σ = 420000102. Its totient is φ = 420000100.

The previous prime is 420000029. The next prime is 420000107. The reversal of 420000101 is 101000024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 416119201 + 3880900 = 20399^2 + 1970^2 .

It is a cyclic number.

It is not a de Polignac number, because 420000101 - 2¹⁸ = 419737957 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420000107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210000050 + 210000051.

It is an arithmetic number, because the mean of its divisors is an integer number (210000051).

Almost surely, 2^420000101 is an apocalyptic number.

It is an amenable number.

420000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

420000101 is an equidigital number, since it uses as much as digits as its factorization.

420000101 is an evil number, because the sum of its binary digits is even.

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

The square root of 420000101 is about 20493.9039960667. The cubic root of 420000101 is about 748.8872987517.

Adding to 420000101 its reverse (101000024), we get a palindrome (521000125).

The spelling of 420000101 in words is "four hundred twenty million, one hundred one", and thus it is an aban number.