42102410200 has 48 divisors (see below), whose sum is σ = 97992567360. Its totient is φ = 16822992000.

The previous prime is 42102410191. The next prime is 42102410237. The reversal of 42102410200 is 201420124.

It is a super-2 number, since 2×42102410200² (a number of 22 digits) contains 22 as substring.

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, 76345 + ... + 300055.

It is an arithmetic number, because the mean of its divisors is an integer number (2041511820).

Almost surely, 2^42102410200 is an apocalyptic number.

42102410200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42102410200 is an abundant number, since it is smaller than the sum of its proper divisors (55890157160).

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

42102410200 is a wasteful number, since it uses less digits than its factorization.

42102410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224668 (or 224659 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 42102410200 its reverse (201420124), we get a palindrome (42303830324).

The spelling of 42102410200 in words is "forty-two billion, one hundred two million, four hundred ten thousand, two hundred".