2010112201111 has 16 divisors (see below), whose sum is σ = 2538161409024. Its totient is φ = 1551098634624.

The previous prime is 2010112201093. The next prime is 2010112201177. The reversal of 2010112201111 is 1111022110102.

It is a happy number.

It is not a de Polignac number, because 2010112201111 - 2¹⁹ = 2010111676823 is a prime.

It is a super-2 number, since 2×2010112201111² (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 = 2010112201091 and 2010112201100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010112231111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367208115 + ... + 367213588.

It is an arithmetic number, because the mean of its divisors is an integer number (158635088064).

Almost surely, 2^{2010112201111} is an apocalyptic number.

2010112201111 is a deficient number, since it is larger than the sum of its proper divisors (528049207913).

2010112201111 is a wasteful number, since it uses less digits than its factorization.

2010112201111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734421750.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2010112201111 its reverse (1111022110102), we get a palindrome (3121134311213).

The spelling of 2010112201111 in words is "two trillion, ten billion, one hundred twelve million, two hundred one thousand, one hundred eleven".