10002121102001 has 12 divisors (see below), whose sum is σ = 11656627188660. Its totient is φ = 8557399599840.

The previous prime is 10002121101881. The next prime is 10002121102021. The reversal of 10002121102001 is 10020112120001.

It can be written as a sum of positive squares in 2 ways, for example, as 2049292456225 + 7952828645776 = 1431535^2 + 2820076^2 .

It is not a de Polignac number, because 10002121102001 - 2³⁰ = 10001047360177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002121102021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188628686 + ... + 188681703.

It is an arithmetic number, because the mean of its divisors is an integer number (971385599055).

Almost surely, 2^{10002121102001} is an apocalyptic number.

It is an amenable number.

10002121102001 is a deficient number, since it is larger than the sum of its proper divisors (1654506086659).

10002121102001 is an equidigital number, since it uses as much as digits as its factorization.

10002121102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377310944 (or 377310937 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002121102001 its reverse (10020112120001), we get a palindrome (20022233222002).

The spelling of 10002121102001 in words is "ten trillion, two billion, one hundred twenty-one million, one hundred two thousand, one".