10011001012101 has 8 divisors (see below), whose sum is σ = 14831112610560. Its totient is φ = 6674000674716.

The previous prime is 10011001012093. The next prime is 10011001012139. The reversal of 10011001012101 is 10121010011001.

It is not a de Polignac number, because 10011001012101 - 2³ = 10011001012093 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011001012141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185388907605 + ... + 185388907658.

It is an arithmetic number, because the mean of its divisors is an integer number (1853889076320).

Almost surely, 2^{10011001012101} is an apocalyptic number.

It is an amenable number.

10011001012101 is a deficient number, since it is larger than the sum of its proper divisors (4820111598459).

10011001012101 is an equidigital number, since it uses as much as digits as its factorization.

10011001012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370777815272 (or 370777815266 counting only the distinct ones).

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

Adding to 10011001012101 its reverse (10121010011001), we get a palindrome (20132011023102).

The spelling of 10011001012101 in words is "ten trillion, eleven billion, one million, twelve thousand, one hundred one".