10012001101001 has 8 divisors (see below), whose sum is σ = 10250193798240. Its totient is φ = 9774051833952.

The previous prime is 10012001100991. The next prime is 10012001101019. The reversal of 10012001101001 is 10010110021001.

It is a happy number.

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 10012001101001 - 2¹⁸ = 10012000838857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10012001101001.

It is not an unprimeable number, because it can be changed into a prime (10012001101901) 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, 60774311 + ... + 60938828.

It is an arithmetic number, because the mean of its divisors is an integer number (1281274224780).

Almost surely, 2^{10012001101001} is an apocalyptic number.

It is an amenable number.

10012001101001 is a deficient number, since it is larger than the sum of its proper divisors (238192697239).

10012001101001 is a wasteful number, since it uses less digits than its factorization.

10012001101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121715095.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10012001101001 its reverse (10010110021001), we get a palindrome (20022111122002).

The spelling of 10012001101001 in words is "ten trillion, twelve billion, one million, one hundred one thousand, one".