10001000210001 has 32 divisors (see below), whose sum is σ = 14290965872640. Its totient is φ = 6204884013504.

The previous prime is 10001000209999. The next prime is 10001000210039. The reversal of 10001000210001 is 10001200010001.

It is not a de Polignac number, because 10001000210001 - 2¹ = 10001000209999 is a prime.

It is a super-2 number, since 2×10001000210001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10001000210801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132000736 + ... + 132076478.

It is an arithmetic number, because the mean of its divisors is an integer number (446592683520).

Almost surely, 2^{10001000210001} is an apocalyptic number.

It is an amenable number.

10001000210001 is a deficient number, since it is larger than the sum of its proper divisors (4289965662639).

10001000210001 is a wasteful number, since it uses less digits than its factorization.

10001000210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127525.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10001000210001 its reverse (10001200010001), we get a palindrome (20002200220002).

The spelling of 10001000210001 in words is "ten trillion, one billion, two hundred ten thousand, one".