10001011002101 has 24 divisors (see below), whose sum is σ = 11743681034880. Its totient is φ = 8491366985472.

The previous prime is 10001011002089. The next prime is 10001011002173. The reversal of 10001011002101 is 10120011010001.

It is a happy number.

It is not a de Polignac number, because 10001011002101 - 2¹⁴ = 10001010985717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001011002001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58211141 + ... + 58382693.

It is an arithmetic number, because the mean of its divisors is an integer number (489320043120).

Almost surely, 2^{10001011002101} is an apocalyptic number.

It is an amenable number.

10001011002101 is a deficient number, since it is larger than the sum of its proper divisors (1742670032779).

10001011002101 is a wasteful number, since it uses less digits than its factorization.

10001011002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182793 (or 182786 counting only the distinct ones).

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

Adding to 10001011002101 its reverse (10120011010001), we get a palindrome (20121022012102).

The spelling of 10001011002101 in words is "ten trillion, one billion, eleven million, two thousand, one hundred one".