2010010112201 has 16 divisors (see below), whose sum is σ = 2619379695744. Its totient is φ = 1496788395264.

The previous prime is 2010010112189. The next prime is 2010010112213. The reversal of 2010010112201 is 1022110100102.

It is an interprime number because it is at equal distance from previous prime (2010010112189) and next prime (2010010112213).

It is not a de Polignac number, because 2010010112201 - 2⁶ = 2010010112137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2010010112401) 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, 649646195 + ... + 649649288.

It is an arithmetic number, because the mean of its divisors is an integer number (163711230984).

Almost surely, 2^{2010010112201} is an apocalyptic number.

It is an amenable number.

2010010112201 is a deficient number, since it is larger than the sum of its proper divisors (609369583543).

2010010112201 is a wasteful number, since it uses less digits than its factorization.

2010010112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299295520.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2010010112201 its reverse (1022110100102), we get a palindrome (3032120212303).

The spelling of 2010010112201 in words is "two trillion, ten billion, ten million, one hundred twelve thousand, two hundred one".