2010112010111 has 4 divisors (see below), whose sum is σ = 2010177489072. Its totient is φ = 2010046531152.

The previous prime is 2010112010057. The next prime is 2010112010141. The reversal of 2010112010111 is 1110102110102.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 2010112010111 - 2¹⁴ = 2010111993727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2010112010092 and 2010112010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010112010141) 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 3 ways as a sum of consecutive naturals, for example, 32693411 + ... + 32754836.

It is an arithmetic number, because the mean of its divisors is an integer number (502544372268).

Almost surely, 2^{2010112010111} is an apocalyptic number.

2010112010111 is a deficient number, since it is larger than the sum of its proper divisors (65478961).

2010112010111 is an equidigital number, since it uses as much as digits as its factorization.

2010112010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65478960.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2010112010111 its reverse (1110102110102), we get a palindrome (3120214120213).

Subtracting from 2010112010111 its reverse (1110102110102), we obtain a palindrome (900009900009).

It can be divided in two parts, 201011 and 2010111, that added together give a palindrome (2211122).

The spelling of 2010112010111 in words is "two trillion, ten billion, one hundred twelve million, ten thousand, one hundred eleven".