100100210210 has 128 divisors (see below), whose sum is σ = 244416904704. Its totient is φ = 28502876160.

The previous prime is 100100210167. The next prime is 100100210213. The reversal of 100100210210 is 12012001001.

100100210210 is a modest number, since divided by 210210 gives 100100 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100100210213) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 919424 + ... + 1022516.

It is an arithmetic number, because the mean of its divisors is an integer number (1909507068).

Almost surely, 2^100100210210 is an apocalyptic number.

100100210210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100210210 is an abundant number, since it is smaller than the sum of its proper divisors (144316694494).

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

100100210210 is a wasteful number, since it uses less digits than its factorization.

100100210210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103228.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100100210210 its reverse (12012001001), we get a palindrome (112112211211).

The spelling of 100100210210 in words is "one hundred billion, one hundred million, two hundred ten thousand, two hundred ten".