100100310210 has 48 divisors (see below), whose sum is σ = 260277746040. Its totient is φ = 26691678720.

The previous prime is 100100310203. The next prime is 100100310259. The reversal of 100100310210 is 12013001001.

It can be written as a sum of positive squares in 4 ways, for example, as 89043156801 + 11057153409 = 298401^2 + 105153^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100100310192 and 100100310201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1966480 + ... + 2016740.

Almost surely, 2^100100310210 is an apocalyptic number.

100100310210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100310210 is an abundant number, since it is smaller than the sum of its proper divisors (160177435830).

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

100100310210 is a wasteful number, since it uses less digits than its factorization.

100100310210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72403 (or 72400 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100100310210 its reverse (12013001001), we get a palindrome (112113311211).

The spelling of 100100310210 in words is "one hundred billion, one hundred million, three hundred ten thousand, two hundred ten".