100113000210 has 48 divisors (see below), whose sum is σ = 260313497496. Its totient is φ = 26694779904.

The previous prime is 100113000199. The next prime is 100113000217. The reversal of 100113000210 is 12000311001.

It can be written as a sum of positive squares in 4 ways, for example, as 91295226801 + 8817773409 = 302151^2 + 93903^2 .

It is a super-2 number, since 2×100113000210² (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 Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100113000192 and 100113000201.

It is not an unprimeable number, because it can be changed into a prime (100113000217) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1443652 + ... + 1511408.

Almost surely, 2^100113000210 is an apocalyptic number.

100113000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100113000210 is an abundant number, since it is smaller than the sum of its proper divisors (160200497286).

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

100113000210 is a wasteful number, since it uses less digits than its factorization.

100113000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84187 (or 84184 counting only the distinct ones).

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

Adding to 100113000210 its reverse (12000311001), we get a palindrome (112113311211).

The spelling of 100113000210 in words is "one hundred billion, one hundred thirteen million, two hundred ten", and thus it is an aban number.