210421420042100 has 72 divisors (see below), whose sum is σ = 464106814642968. Its totient is φ = 82787533516800.

The previous prime is 210421420042081. The next prime is 210421420042109. The reversal of 210421420042100 is 1240024124012.

It can be written as a sum of positive squares in 12 ways, for example, as 110806528555024 + 99614891487076 = 10526468^2 + 9980726^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210421420042109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490670972 + ... + 491099628.

Almost surely, 2^{210421420042100} is an apocalyptic number.

210421420042100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210421420042100 is an abundant number, since it is smaller than the sum of its proper divisors (253685394600868).

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

210421420042100 is a wasteful number, since it uses less digits than its factorization.

210421420042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509205 (or 509198 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 210421420042100 its reverse (1240024124012), we get a palindrome (211661444166112).

The spelling of 210421420042100 in words is "two hundred ten trillion, four hundred twenty-one billion, four hundred twenty million, forty-two thousand, one hundred".