420815101 has 16 divisors (see below), whose sum is σ = 486794880. Its totient is φ = 356322240.

The previous prime is 420815089. The next prime is 420815113. The reversal of 420815101 is 101518024.

It is an interprime number because it is at equal distance from previous prime (420815089) and next prime (420815113).

It is a cyclic number.

It is not a de Polignac number, because 420815101 - 2¹⁵ = 420782333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420815701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355731 + ... + 356911.

It is an arithmetic number, because the mean of its divisors is an integer number (30424680).

Almost surely, 2^420815101 is an apocalyptic number.

It is an amenable number.

420815101 is a deficient number, since it is larger than the sum of its proper divisors (65979779).

420815101 is a wasteful number, since it uses less digits than its factorization.

420815101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764.

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 420815101 is about 20513.7783209237. The cubic root of 420815101 is about 749.3713849751.

The spelling of 420815101 in words is "four hundred twenty million, eight hundred fifteen thousand, one hundred one".