100121220121213 has 8 divisors (see below), whose sum is σ = 100180771865720. Its totient is φ = 100061685884160.

The previous prime is 100121220121199. The next prime is 100121220121229. The reversal of 100121220121213 is 312121022121001.

It can be written as a sum of positive squares in 4 ways, for example, as 28151481805209 + 71969738316004 = 5305797^2 + 8483498^2 .

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 100121220121213 - 2¹³ = 100121220113021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121220121313) 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 7 ways as a sum of consecutive naturals, for example, 7072993 + ... + 15819913.

It is an arithmetic number, because the mean of its divisors is an integer number (12522596483215).

Almost surely, 2^{100121220121213} is an apocalyptic number.

It is an amenable number.

100121220121213 is a deficient number, since it is larger than the sum of its proper divisors (59551744507).

100121220121213 is an equidigital number, since it uses as much as digits as its factorization.

100121220121213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8753727.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 100121220121213 its reverse (312121022121001), we get a palindrome (412242242242214).

The spelling of 100121220121213 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twenty-one thousand, two hundred thirteen".