10121212110321 has 96 divisors (see below), whose sum is σ = 16360646440320. Its totient is φ = 5986532966400.

The previous prime is 10121212110307. The next prime is 10121212110329. The reversal of 10121212110321 is 12301121212101.

It is a happy number.

10121212110321 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 212 + 110 + 321 = 666.

It is not a de Polignac number, because 10121212110321 - 2⁹ = 10121212109809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121212110294 and 10121212110303.

It is not an unprimeable number, because it can be changed into a prime (10121212110329) 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 95 ways as a sum of consecutive naturals, for example, 754688106 + ... + 754701516.

It is an arithmetic number, because the mean of its divisors is an integer number (170423400420).

Almost surely, 2^{10121212110321} is an apocalyptic number.

It is an amenable number.

10121212110321 is a deficient number, since it is larger than the sum of its proper divisors (6239434329999).

10121212110321 is a wasteful number, since it uses less digits than its factorization.

10121212110321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14447 (or 14444 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10121212110321 its reverse (12301121212101), we get a palindrome (22422333322422).

The spelling of 10121212110321 in words is "ten trillion, one hundred twenty-one billion, two hundred twelve million, one hundred ten thousand, three hundred twenty-one".