10001200210001 has 64 divisors (see below), whose sum is σ = 13536704434176. Its totient is φ = 7135584019200.

The previous prime is 10001200209943. The next prime is 10001200210007.

10001200210001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10001200210001 - 2²⁶ = 10001133101137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10001200210007) 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 63 ways as a sum of consecutive naturals, for example, 317714675 + ... + 317746151.

It is an arithmetic number, because the mean of its divisors is an integer number (211511006784).

Almost surely, 2^{10001200210001} is an apocalyptic number.

10001200210001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001200210001 is a deficient number, since it is larger than the sum of its proper divisors (3535504224175).

10001200210001 is a wasteful number, since it uses less digits than its factorization.

10001200210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34062.

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

It can be divided in two parts, 10001200 and 210001, that added together give a palindrome (10211201).

The spelling of 10001200210001 in words is "ten trillion, one billion, two hundred million, two hundred ten thousand, one".