10001223121 has 8 divisors (see below), whose sum is σ = 10110462824. Its totient is φ = 9892108800.

The previous prime is 10001223109. The next prime is 10001223143. The reversal of 10001223121 is 12132210001.

10001223121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 68310225 + 9932912896 = 8265^2 + 99664^2 .

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 10001223121 - 2⁷ = 10001222993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001220121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133771 + ... + 194671.

It is an arithmetic number, because the mean of its divisors is an integer number (1263807853).

Almost surely, 2^10001223121 is an apocalyptic number.

It is an amenable number.

10001223121 is a deficient number, since it is larger than the sum of its proper divisors (109239703).

10001223121 is an equidigital number, since it uses as much as digits as its factorization.

10001223121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62691.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10001223121 its reverse (12132210001), we get a palindrome (22133433122).

The spelling of 10001223121 in words is "ten billion, one million, two hundred twenty-three thousand, one hundred twenty-one".