10000000101001 has 8 divisors (see below), whose sum is σ = 10434882934080. Its totient is φ = 9565125619632.

The previous prime is 10000000100971. The next prime is 10000000101023. The reversal of 10000000101001 is 10010100000001.

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 10000000101001 - 2³¹ = 9997852617353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000000101601) 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, 423130 + ... + 4492108.

It is an arithmetic number, because the mean of its divisors is an integer number (1304360366760).

Almost surely, 2^{10000000101001} is an apocalyptic number.

It is an amenable number.

10000000101001 is a deficient number, since it is larger than the sum of its proper divisors (434882833079).

10000000101001 is a wasteful number, since it uses less digits than its factorization.

10000000101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175855.

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

Adding to 10000000101001 its reverse (10010100000001), we get a palindrome (20010100101002).

The spelling of 10000000101001 in words is "ten trillion, one hundred one thousand, one".