1010020110001 has 16 divisors (see below), whose sum is σ = 1191727313920. Its totient is φ = 837676131840.

The previous prime is 1010020109963. The next prime is 1010020110019. The reversal of 1010020110001 is 1000110200101.

It is a cyclic number.

It is not a de Polignac number, because 1010020110001 - 2⁷ = 1010020109873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010020110031) 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, 1073365 + ... + 1781053.

It is an arithmetic number, because the mean of its divisors is an integer number (74482957120).

Almost surely, 2^{1010020110001} is an apocalyptic number.

It is an amenable number.

1010020110001 is a deficient number, since it is larger than the sum of its proper divisors (181707203919).

1010020110001 is an equidigital number, since it uses as much as digits as its factorization.

1010020110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714304.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1010020110001 its reverse (1000110200101), we get a palindrome (2010130310102).

The spelling of 1010020110001 in words is "one trillion, ten billion, twenty million, one hundred ten thousand, one".