10002120001 has 4 divisors (see below), whose sum is σ = 10003830100. Its totient is φ = 10000409904.

The previous prime is 10002119947. The next prime is 10002120031.

10002120001 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5844449601 + 4157670400 = 76449^2 + 64480^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002120001 - 2⁷ = 10002119873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002120031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 846246 + ... + 857983.

It is an arithmetic number, because the mean of its divisors is an integer number (2500957525).

Almost surely, 2^10002120001 is an apocalyptic number.

It is an amenable number.

10002120001 is a deficient number, since it is larger than the sum of its proper divisors (1710099).

10002120001 is an equidigital number, since it uses as much as digits as its factorization.

10002120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710098.

The product of its (nonzero) digits is 4, while the sum is 7.

The spelling of 10002120001 in words is "ten billion, two million, one hundred twenty thousand, one".