10000002100001 has 4 divisors (see below), whose sum is σ = 10136988430212. Its totient is φ = 9863015769792.

The previous prime is 10000002099917. The next prime is 10000002100021. The reversal of 10000002100001 is 10000120000001.

It is a happy number.

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 6349518030625 + 3650484069376 = 2519825^2 + 1910624^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000002100001 - 2⁴² = 5601955588897 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10000002100021) 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, 68493164996 + ... + 68493165141.

It is an arithmetic number, because the mean of its divisors is an integer number (2534247107553).

Almost surely, 2^{10000002100001} is an apocalyptic number.

It is an amenable number.

10000002100001 is a deficient number, since it is larger than the sum of its proper divisors (136986330211).

10000002100001 is an equidigital number, since it uses as much as digits as its factorization.

10000002100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136986330210.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10000002100001 its reverse (10000120000001), we get a palindrome (20000122100002).

The spelling of 10000002100001 in words is "ten trillion, two million, one hundred thousand, one".