100050420210 has 512 divisors, whose sum is σ = 303774105600. Its totient is φ = 20820602880.

The previous prime is 100050420163. The next prime is 100050420221. The reversal of 100050420210 is 12024050001.

It is a Harshad number since it is a multiple of its sum of digits (15).

100050420210 is a modest number, since divided by 420210 gives 100050 as remainder.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100050420210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 153216244 + ... + 153216896.

It is an arithmetic number, because the mean of its divisors is an integer number (593308800).

Almost surely, 2^100050420210 is an apocalyptic number.

100050420210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100050420210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151887052800).

100050420210 is an abundant number, since it is smaller than the sum of its proper divisors (203723685390).

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

100050420210 is a wasteful number, since it uses less digits than its factorization.

100050420210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778.

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 100050420210 its reverse (12024050001), we get a palindrome (112074470211).

The spelling of 100050420210 in words is "one hundred billion, fifty million, four hundred twenty thousand, two hundred ten".