10002000121201 has 16 divisors (see below), whose sum is σ = 11387015925120. Its totient is φ = 8696367877120.

The previous prime is 10002000121093. The next prime is 10002000121273. The reversal of 10002000121201 is 10212100020001.

It is not a de Polignac number, because 10002000121201 - 2⁷ = 10002000121073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10002000121301) 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 15 ways as a sum of consecutive naturals, for example, 168166 + ... + 4475743.

It is an arithmetic number, because the mean of its divisors is an integer number (711688495320).

Almost surely, 2^{10002000121201} is an apocalyptic number.

10002000121201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002000121201 is a deficient number, since it is larger than the sum of its proper divisors (1385015803919).

10002000121201 is a wasteful number, since it uses less digits than its factorization.

10002000121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652456.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10002000121201 its reverse (10212100020001), we get a palindrome (20214100141202).

The spelling of 10002000121201 in words is "ten trillion, two billion, one hundred twenty-one thousand, two hundred one".