420181101 has 20 divisors (see below), whose sum is σ = 628514172. Its totient is φ = 279747648.

The previous prime is 420181093. The next prime is 420181117. The reversal of 420181101 is 101181024.

It can be written as a sum of positive squares in 2 ways, for example, as 209960100 + 210221001 = 14490^2 + 14499^2 .

It is not a de Polignac number, because 420181101 - 2³ = 420181093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420181001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66391 + ... + 72443.

Almost surely, 2^420181101 is an apocalyptic number.

It is an amenable number.

420181101 is a deficient number, since it is larger than the sum of its proper divisors (208333071).

420181101 is an equidigital number, since it uses as much as digits as its factorization.

420181101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6922 (or 6913 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 420181101 is about 20498.3194677027. The cubic root of 420181101 is about 748.9948615307.

The spelling of 420181101 in words is "four hundred twenty million, one hundred eighty-one thousand, one hundred one".