100101110110213 has 8 divisors (see below), whose sum is σ = 102550786853760. Its totient is φ = 97651823188320.

The previous prime is 100101110110193. The next prime is 100101110110273. The reversal of 100101110110213 is 312011011101001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100101110110213 - 2⁹ = 100101110109701 is a prime.

It is a super-3 number, since 3×100101110110213³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101110110193 and 100101110110202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101110110273) 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 7 ways as a sum of consecutive naturals, for example, 96935523 + ... + 97962736.

It is an arithmetic number, because the mean of its divisors is an integer number (12818848356720).

Almost surely, 2^{100101110110213} is an apocalyptic number.

It is an amenable number.

100101110110213 is a deficient number, since it is larger than the sum of its proper divisors (2449676743547).

100101110110213 is a wasteful number, since it uses less digits than its factorization.

100101110110213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194910827.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 100101110110213 its reverse (312011011101001), we get a palindrome (412112121211214).

The spelling of 100101110110213 in words is "one hundred trillion, one hundred one billion, one hundred ten million, one hundred ten thousand, two hundred thirteen".