10012101100001 has 16 divisors (see below), whose sum is σ = 13442821058688. Its totient is φ = 7201511280000.

The previous prime is 10012101099989. The next prime is 10012101100007. The reversal of 10012101100001 is 10000110121001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10012101100001 - 2⁴² = 5614054588897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10012101100007) 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 15 ways as a sum of consecutive naturals, for example, 5001048500 + ... + 5001050501.

It is an arithmetic number, because the mean of its divisors is an integer number (840176316168).

Almost surely, 2^{10012101100001} is an apocalyptic number.

10012101100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012101100001 is a deficient number, since it is larger than the sum of its proper divisors (3430719958687).

10012101100001 is a wasteful number, since it uses less digits than its factorization.

10012101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002099032.

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

Adding to 10012101100001 its reverse (10000110121001), we get a palindrome (20012211221002).

The spelling of 10012101100001 in words is "ten trillion, twelve billion, one hundred one million, one hundred thousand, one".