202110042420 has 288 divisors, whose sum is σ = 722835719424. Its totient is φ = 45064857600.

The previous prime is 202110042377. The next prime is 202110042467. The reversal of 202110042420 is 24240011202.

202110042420 is a `hidden beast` number, since 202 + 1 + 1 + 0 + 0 + 42 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202110042393 and 202110042402.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 7218969 + ... + 7246911.

It is an arithmetic number, because the mean of its divisors is an integer number (2509846248).

Almost surely, 2^202110042420 is an apocalyptic number.

202110042420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202110042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361417859712).

202110042420 is an abundant number, since it is smaller than the sum of its proper divisors (520725677004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202110042420 is a wasteful number, since it uses less digits than its factorization.

202110042420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28263 (or 28258 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202110042420 its reverse (24240011202), we get a palindrome (226350053622).

The spelling of 202110042420 in words is "two hundred two billion, one hundred ten million, forty-two thousand, four hundred twenty".