2010000122111 has 12 divisors (see below), whose sum is σ = 2101261993320. Its totient is φ = 1922543903280.

The previous prime is 2010000122089. The next prime is 2010000122191. The reversal of 2010000122111 is 1112210000102.

It is a de Polignac number, because none of the positive numbers 2^k-2010000122111 is a prime.

It is a super-2 number, since 2×2010000122111² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2010000122092 and 2010000122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010000122191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24510485 + ... + 24592353.

It is an arithmetic number, because the mean of its divisors is an integer number (175105166110).

Almost surely, 2^{2010000122111} is an apocalyptic number.

2010000122111 is a deficient number, since it is larger than the sum of its proper divisors (91261871209).

2010000122111 is an equidigital number, since it uses as much as digits as its factorization.

2010000122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128326 (or 128303 counting only the distinct ones).

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

Adding to 2010000122111 its reverse (1112210000102), we get a palindrome (3122210122213).

The spelling of 2010000122111 in words is "two trillion, ten billion, one hundred twenty-two thousand, one hundred eleven".