10002120122001 has 96 divisors (see below), whose sum is σ = 16004329729920. Its totient is φ = 5538285010944.

The previous prime is 10002120121949. The next prime is 10002120122011. The reversal of 10002120122001 is 10022102120001.

It is not a de Polignac number, because 10002120122001 - 2⁹ = 10002120121489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10002120122011) 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, 142569190 + ... + 142639328.

It is an arithmetic number, because the mean of its divisors is an integer number (166711768020).

Almost surely, 2^{10002120122001} is an apocalyptic number.

It is an amenable number.

10002120122001 is a deficient number, since it is larger than the sum of its proper divisors (6002209607919).

10002120122001 is a wasteful number, since it uses less digits than its factorization.

10002120122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70463 (or 70456 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002120122001 its reverse (10022102120001), we get a palindrome (20024222242002).

The spelling of 10002120122001 in words is "ten trillion, two billion, one hundred twenty million, one hundred twenty-two thousand, one".