10001012101101 has 12 divisors (see below), whose sum is σ = 16509607278112. Its totient is φ = 5714864057736.

The previous prime is 10001012101099. The next prime is 10001012101103. The reversal of 10001012101101 is 10110121010001.

It is an interprime number because it is at equal distance from previous prime (10001012101099) and next prime (10001012101103).

It is not a de Polignac number, because 10001012101101 - 2¹ = 10001012101099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001012101103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79373111851 + ... + 79373111976.

Almost surely, 2^{10001012101101} is an apocalyptic number.

It is an amenable number.

10001012101101 is a deficient number, since it is larger than the sum of its proper divisors (6508595177011).

10001012101101 is a wasteful number, since it uses less digits than its factorization.

10001012101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158746223840 (or 158746223837 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10001012101101 its reverse (10110121010001), we get a palindrome (20111133111102).

The spelling of 10001012101101 in words is "ten trillion, one billion, twelve million, one hundred one thousand, one hundred one".