2010112002101 has 16 divisors (see below), whose sum is σ = 2385955232640. Its totient is φ = 1656913272000.

The previous prime is 2010112002083. The next prime is 2010112002139. The reversal of 2010112002101 is 1012002110102.

It is not a de Polignac number, because 2010112002101 - 2⁶ = 2010112002037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010112002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19674206 + ... + 19776111.

It is an arithmetic number, because the mean of its divisors is an integer number (149122202040).

Almost surely, 2^{2010112002101} is an apocalyptic number.

It is an amenable number.

2010112002101 is a deficient number, since it is larger than the sum of its proper divisors (375843230539).

2010112002101 is a wasteful number, since it uses less digits than its factorization.

2010112002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39450604.

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

Adding to 2010112002101 its reverse (1012002110102), we get a palindrome (3022114112203).

The spelling of 2010112002101 in words is "two trillion, ten billion, one hundred twelve million, two thousand, one hundred one".