100200210210 has 24 divisors (see below), whose sum is σ = 260520546780. Its totient is φ = 26720056032.

The previous prime is 100200210199. The next prime is 100200210211. The reversal of 100200210210 is 12012002001.

It can be written as a sum of positive squares in 2 ways, for example, as 84885405201 + 15314805009 = 291351^2 + 123753^2 .

It is a super-2 number, since 2×100200210210² (a number of 23 digits) contains 22 as substring.

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 = 100200210192 and 100200210201.

It is not an unprimeable number, because it can be changed into a prime (100200210211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556667745 + ... + 556667924.

Almost surely, 2^100200210210 is an apocalyptic number.

100200210210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100200210210 is an abundant number, since it is smaller than the sum of its proper divisors (160320336570).

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

100200210210 is a wasteful number, since it uses less digits than its factorization.

100200210210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113335682 (or 1113335679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100200210210 its reverse (12012002001), we get a palindrome (112212212211).

The spelling of 100200210210 in words is "one hundred billion, two hundred million, two hundred ten thousand, two hundred ten".