2010110201121 has 48 divisors (see below), whose sum is σ = 3037076203392. Its totient is φ = 1180813962240.

The previous prime is 2010110201119. The next prime is 2010110201147. The reversal of 2010110201121 is 1211020110102.

It is not a de Polignac number, because 2010110201121 - 2¹ = 2010110201119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2010110201097 and 2010110201106.

It is not an unprimeable number, because it can be changed into a prime (2010110201161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3247825 + ... + 3816881.

It is an arithmetic number, because the mean of its divisors is an integer number (63272420904).

Almost surely, 2^{2010110201121} is an apocalyptic number.

It is an amenable number.

2010110201121 is a deficient number, since it is larger than the sum of its proper divisors (1026966002271).

2010110201121 is a wasteful number, since it uses less digits than its factorization.

2010110201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569382 (or 569371 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2010110201121 its reverse (1211020110102), we get a palindrome (3221130311223).

The spelling of 2010110201121 in words is "two trillion, ten billion, one hundred ten million, two hundred one thousand, one hundred twenty-one".