10000010010001 has 8 divisors (see below), whose sum is σ = 10955922011424. Its totient is φ = 9051901372320.

The previous prime is 10000010009981. The next prime is 10000010010019. The reversal of 10000010010001 is 10001001000001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000010010001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000010010071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1950838251 + ... + 1950843376.

It is an arithmetic number, because the mean of its divisors is an integer number (1369490251428).

Almost surely, 2^{10000010010001} is an apocalyptic number.

10000010010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000010010001 is a deficient number, since it is larger than the sum of its proper divisors (955912001423).

10000010010001 is a wasteful number, since it uses less digits than its factorization.

10000010010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901681871.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10000010010001 its reverse (10001001000001), we get a palindrome (20001011010002).

The spelling of 10000010010001 in words is "ten trillion, ten million, ten thousand, one".