10002001121 has 16 divisors (see below), whose sum is σ = 11575200000. Its totient is φ = 8465370048.

The previous prime is 10002001073. The next prime is 10002001157. The reversal of 10002001121 is 12110020001.

It is a cyclic number.

It is not a de Polignac number, because 10002001121 - 2¹⁰ = 10002000097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002001099 and 10002001108.

It is not an unprimeable number, because it can be changed into a prime (10002001171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231755 + ... + 271503.

It is an arithmetic number, because the mean of its divisors is an integer number (723450000).

Almost surely, 2^10002001121 is an apocalyptic number.

It is an amenable number.

10002001121 is a deficient number, since it is larger than the sum of its proper divisors (1573198879).

10002001121 is a wasteful number, since it uses less digits than its factorization.

10002001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40208.

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

Adding to 10002001121 its reverse (12110020001), we get a palindrome (22112021122).

The spelling of 10002001121 in words is "ten billion, two million, one thousand, one hundred twenty-one".