100213101030 has 64 divisors (see below), whose sum is σ = 282299166720. Its totient is φ = 22286772864.

The previous prime is 100213101029. The next prime is 100213101059. The reversal of 100213101030 is 30101312001.

It is a junction number, because it is equal to n+sod(n) for n = 100213100997 and 100213101015.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6440950 + ... + 6456489.

It is an arithmetic number, because the mean of its divisors is an integer number (4410924480).

Almost surely, 2^100213101030 is an apocalyptic number.

100213101030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100213101030 is an abundant number, since it is smaller than the sum of its proper divisors (182086065690).

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

100213101030 is a wasteful number, since it uses less digits than its factorization.

100213101030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12897493.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100213101030 its reverse (30101312001), we get a palindrome (130314413031).

The spelling of 100213101030 in words is "one hundred billion, two hundred thirteen million, one hundred one thousand, thirty".