10011001020101 has 16 divisors (see below), whose sum is σ = 10057670912640. Its totient is φ = 9964431967680.

The previous prime is 10011001019983. The next prime is 10011001020103. The reversal of 10011001020101 is 10102010011001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10011001020101 - 2³⁰ = 10009927278277 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011001020103) 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, 1465950755 + ... + 1465957583.

It is an arithmetic number, because the mean of its divisors is an integer number (628604432040).

Almost surely, 2^{10011001020101} is an apocalyptic number.

It is an amenable number.

10011001020101 is a deficient number, since it is larger than the sum of its proper divisors (46669892539).

10011001020101 is an equidigital number, since it uses as much as digits as its factorization.

10011001020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13244.

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

Adding to 10011001020101 its reverse (10102010011001), we get a palindrome (20113011031102).

The spelling of 10011001020101 in words is "ten trillion, eleven billion, one million, twenty thousand, one hundred one".