10000121121221 has 12 divisors (see below), whose sum is σ = 12562135624416. Its totient is φ = 7792302171720.

The previous prime is 10000121121167. The next prime is 10000121121223. The reversal of 10000121121221 is 12212112100001.

It is not a de Polignac number, because 10000121121221 - 2³⁸ = 9725243214277 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10000121121196 and 10000121121205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000121121223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5903258375 + ... + 5903260068.

It is an arithmetic number, because the mean of its divisors is an integer number (1046844635368).

Almost surely, 2^{10000121121221} is an apocalyptic number.

10000121121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000121121221 is a deficient number, since it is larger than the sum of its proper divisors (2562014503195).

10000121121221 is a wasteful number, since it uses less digits than its factorization.

10000121121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11806518472 (or 11806518461 counting only the distinct ones).

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

Adding to 10000121121221 its reverse (12212112100001), we get a palindrome (22212233221222).

The spelling of 10000121121221 in words is "ten trillion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty-one".