100121220110213 has 16 divisors (see below), whose sum is σ = 106667755269120. Its totient is φ = 93765016185984.

The previous prime is 100121220110209. The next prime is 100121220110251. The reversal of 100121220110213 is 312011022121001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100121220110213 - 2² = 100121220110209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100121220110191 and 100121220110200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121220190213) 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, 85150856 + ... + 86318657.

It is an arithmetic number, because the mean of its divisors is an integer number (6666734704320).

Almost surely, 2^{100121220110213} is an apocalyptic number.

It is an amenable number.

100121220110213 is a deficient number, since it is larger than the sum of its proper divisors (6546535158907).

100121220110213 is a wasteful number, since it uses less digits than its factorization.

100121220110213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171470068.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100121220110213 its reverse (312011022121001), we get a palindrome (412132242231214).

The spelling of 100121220110213 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty million, one hundred ten thousand, two hundred thirteen".