210000101010001 has 8 divisors (see below), whose sum is σ = 210059979468800. Its totient is φ = 209940228473472.

The previous prime is 210000101009987. The next prime is 210000101010013. The reversal of 210000101010001 is 100010101000012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 210000101010001 - 2¹⁷ = 210000100878929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210000101010701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69938800 + ... + 72879598.

It is an arithmetic number, because the mean of its divisors is an integer number (26257497433600).

Almost surely, 2^{210000101010001} is an apocalyptic number.

It is an amenable number.

210000101010001 is a deficient number, since it is larger than the sum of its proper divisors (59878458799).

210000101010001 is a wasteful number, since it uses less digits than its factorization.

210000101010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961135.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 210000101010001 its reverse (100010101000012), we get a palindrome (310010202010013).

The spelling of 210000101010001 in words is "two hundred ten trillion, one hundred one million, ten thousand, one".