10001002000121 has 8 divisors (see below), whose sum is σ = 11089039476288. Its totient is φ = 8942773770000.

The previous prime is 10001002000111. The next prime is 10001002000159. The reversal of 10001002000121 is 12100020010001.

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 10001002000121 - 2³⁰ = 9999928258297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001002000099 and 10001002000108.

It is not an unprimeable number, because it can be changed into a prime (10001002000111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7452310805 + ... + 7452312146.

It is an arithmetic number, because the mean of its divisors is an integer number (1386129934536).

Almost surely, 2^{10001002000121} is an apocalyptic number.

10001002000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001002000121 is a deficient number, since it is larger than the sum of its proper divisors (1088037476167).

10001002000121 is a wasteful number, since it uses less digits than its factorization.

10001002000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14904623023.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10001002000121 its reverse (12100020010001), we get a palindrome (22101022010122).

The spelling of 10001002000121 in words is "ten trillion, one billion, two million, one hundred twenty-one", and thus it is an aban number.