100210110210 has 144 divisors (see below), whose sum is σ = 304422670656. Its totient is φ = 22804036416.

The previous prime is 100210110167. The next prime is 100210110211. The reversal of 100210110210 is 12011012001.

It is a happy number.

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 = 100210110192 and 100210110201.

It is not an unprimeable number, because it can be changed into a prime (100210110211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 951019 + ... + 1051121.

It is an arithmetic number, because the mean of its divisors is an integer number (2114046324).

Almost surely, 2^100210110210 is an apocalyptic number.

100210110210 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 100210110210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152211335328).

100210110210 is an abundant number, since it is smaller than the sum of its proper divisors (204212560446).

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

100210110210 is a wasteful number, since it uses less digits than its factorization.

100210110210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100357 (or 100347 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100210110210 its reverse (12011012001), we get a palindrome (112221122211).

The spelling of 100210110210 in words is "one hundred billion, two hundred ten million, one hundred ten thousand, two hundred ten".