2010120020101 has 4 divisors (see below), whose sum is σ = 2010122981100. Its totient is φ = 2010117059104.

The previous prime is 2010120020093. The next prime is 2010120020123. The reversal of 2010120020101 is 1010200210102.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 1479509755201 + 530610264900 = 1216351^2 + 728430^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010120020101 - 2³ = 2010120020093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010120020401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100755 + ... + 2007583.

It is an arithmetic number, because the mean of its divisors is an integer number (502530745275).

Almost surely, 2^{2010120020101} is an apocalyptic number.

It is an amenable number.

2010120020101 is a deficient number, since it is larger than the sum of its proper divisors (2960999).

2010120020101 is a wasteful number, since it uses less digits than its factorization.

2010120020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960998.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2010120020101 its reverse (1010200210102), we get a palindrome (3020320230203).

The spelling of 2010120020101 in words is "two trillion, ten billion, one hundred twenty million, twenty thousand, one hundred one".