100030021110331 has 16 divisors (see below), whose sum is σ = 117144121588704. Its totient is φ = 84555155418624.

The previous prime is 100030021110307. The next prime is 100030021110353. The reversal of 100030021110331 is 133011120030001.

It is a cyclic number.

It is not a de Polignac number, because 100030021110331 - 2¹⁵ = 100030021077563 is a prime.

It is a super-3 number, since 3×100030021110331³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100030021110931) 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 15 ways as a sum of consecutive naturals, for example, 6116539525 + ... + 6116555878.

It is an arithmetic number, because the mean of its divisors is an integer number (7321507599294).

Almost surely, 2^{100030021110331} is an apocalyptic number.

100030021110331 is a deficient number, since it is larger than the sum of its proper divisors (17114100478373).

100030021110331 is a wasteful number, since it uses less digits than its factorization.

100030021110331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12233095470.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100030021110331 its reverse (133011120030001), we get a palindrome (233041141140332).

The spelling of 100030021110331 in words is "one hundred trillion, thirty billion, twenty-one million, one hundred ten thousand, three hundred thirty-one".