42121410210200 has 48 divisors (see below), whose sum is σ = 98212887150000. Its totient is φ = 16800287368320.

The previous prime is 42121410210157. The next prime is 42121410210221. The reversal of 42121410210200 is 201201412124.

42121410210200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301659500 + ... + 301799099.

It is an arithmetic number, because the mean of its divisors is an integer number (2046101815625).

Almost surely, 2^{42121410210200} is an apocalyptic number.

42121410210200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42121410210200 is an abundant number, since it is smaller than the sum of its proper divisors (56091476939800).

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

42121410210200 is a wasteful number, since it uses less digits than its factorization.

42121410210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603458964 (or 603458955 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 42121410210200 its reverse (201201412124), we get a palindrome (42322611622324).

The spelling of 42121410210200 in words is "forty-two trillion, one hundred twenty-one billion, four hundred ten million, two hundred ten thousand, two hundred".