100013224003030 has 384 divisors, whose sum is σ = 213143097897216. Its totient is φ = 33675728486400.

The previous prime is 100013224003027. The next prime is 100013224003039. The reversal of 100013224003030 is 30300422310001.

It is a super-2 number, since 2×100013224003030² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100013224002989 and 100013224003007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013224003039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24652012762 + ... + 24652016818.

It is an arithmetic number, because the mean of its divisors is an integer number (555060150774).

Almost surely, 2^{100013224003030} is an apocalyptic number.

100013224003030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100013224003030 is an abundant number, since it is smaller than the sum of its proper divisors (113129873894186).

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

100013224003030 is a wasteful number, since it uses less digits than its factorization.

100013224003030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 100013224003030 its reverse (30300422310001), we get a palindrome (130313646313031).

The spelling of 100013224003030 in words is "one hundred trillion, thirteen billion, two hundred twenty-four million, three thousand, thirty".