421000101 has 24 divisors (see below), whose sum is σ = 620507160. Its totient is φ = 274982400.

The previous prime is 421000093. The next prime is 421000117. The reversal of 421000101 is 101000124.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 88849476 + 332150625 = 9426^2 + 18225^2 .

It is not a de Polignac number, because 421000101 - 2³ = 421000093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421000001) 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 in 23 ways as a sum of consecutive naturals, for example, 152905 + ... + 155633.

It is an arithmetic number, because the mean of its divisors is an integer number (25854465).

Almost surely, 2^421000101 is an apocalyptic number.

It is an amenable number.

421000101 is a deficient number, since it is larger than the sum of its proper divisors (199507059).

421000101 is a wasteful number, since it uses less digits than its factorization.

421000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 421000101 is about 20518.2869899024. The cubic root of 421000101 is about 749.4811825207.

Adding to 421000101 its reverse (101000124), we get a palindrome (522000225).

The spelling of 421000101 in words is "four hundred twenty-one million, one hundred one", and thus it is an aban number.