2010001010101 has 16 divisors (see below), whose sum is σ = 2305464768000. Its totient is φ = 1716628128768.

The previous prime is 2010001010063. The next prime is 2010001010191. The reversal of 2010001010101 is 1010101000102.

It is not a de Polignac number, because 2010001010101 - 2¹⁵ = 2010000977333 is a prime.

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

It is a Duffinian number.

2010001010101 is a modest number, since divided by 1010101 gives 20100 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010001010191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1815091 + ... + 2704543.

It is an arithmetic number, because the mean of its divisors is an integer number (144091548000).

Almost surely, 2^{2010001010101} is an apocalyptic number.

It is an amenable number.

2010001010101 is a deficient number, since it is larger than the sum of its proper divisors (295463757899).

2010001010101 is an equidigital number, since it uses as much as digits as its factorization.

2010001010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890628.

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

Adding to 2010001010101 its reverse (1010101000102), we get a palindrome (3020102010203).

Subtracting from 2010001010101 its reverse (1010101000102), we obtain a palindrome (999900009999).

The spelling of 2010001010101 in words is "two trillion, ten billion, one million, ten thousand, one hundred one".