10001212120121 has 16 divisors (see below), whose sum is σ = 10141441989120. Its totient is φ = 9861638666880.

The previous prime is 10001212120103. The next prime is 10001212120129. The reversal of 10001212120121 is 12102121210001.

It is a cyclic number.

It is not a de Polignac number, because 10001212120121 - 2²² = 10001207925817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001212120096 and 10001212120105.

It is not an unprimeable number, because it can be changed into a prime (10001212120129) 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 15 ways as a sum of consecutive naturals, for example, 47313656 + ... + 47524566.

It is an arithmetic number, because the mean of its divisors is an integer number (633840124320).

Almost surely, 2^{10001212120121} is an apocalyptic number.

It is an amenable number.

10001212120121 is a deficient number, since it is larger than the sum of its proper divisors (140229868999).

10001212120121 is an equidigital number, since it uses as much as digits as its factorization.

10001212120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212464.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10001212120121 its reverse (12102121210001), we get a palindrome (22103333330122).

The spelling of 10001212120121 in words is "ten trillion, one billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty-one".