100000121213 has 8 divisors (see below), whose sum is σ = 100196467200. Its totient is φ = 99803935728.

The previous prime is 100000121209. The next prime is 100000121219. The reversal of 100000121213 is 312121000001.

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 100000121213 - 2² = 100000121209 is a prime.

It is a super-3 number, since 3×100000121213³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100000121194 and 100000121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000121219) 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, 1247420 + ... + 1325162.

It is an arithmetic number, because the mean of its divisors is an integer number (12524558400).

Almost surely, 2^100000121213 is an apocalyptic number.

It is an amenable number.

100000121213 is a deficient number, since it is larger than the sum of its proper divisors (196345987).

100000121213 is an equidigital number, since it uses as much as digits as its factorization.

100000121213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80251.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100000121213 its reverse (312121000001), we get a palindrome (412121121214).

The spelling of 100000121213 in words is "one hundred billion, one hundred twenty-one thousand, two hundred thirteen".