2010112101011 has 12 divisors (see below), whose sum is σ = 2343718968480. Its totient is φ = 1718955640080.

The previous prime is 2010112100999. The next prime is 2010112101013. The reversal of 2010112101011 is 1101012110102.

It is not a de Polignac number, because 2010112101011 - 2³⁴ = 1992932231827 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2010112100983 and 2010112101001.

It is not an unprimeable number, because it can be changed into a prime (2010112101013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47569016 + ... + 47611253.

It is an arithmetic number, because the mean of its divisors is an integer number (195309914040).

Almost surely, 2^{2010112101011} is an apocalyptic number.

2010112101011 is a deficient number, since it is larger than the sum of its proper divisors (333606867469).

2010112101011 is an equidigital number, since it uses as much as digits as its factorization.

2010112101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95180714 (or 95180707 counting only the distinct ones).

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

Adding to 2010112101011 its reverse (1101012110102), we get a palindrome (3111124211113).

Subtracting from 2010112101011 its reverse (1101012110102), we obtain a palindrome (909099990909).

The spelling of 2010112101011 in words is "two trillion, ten billion, one hundred twelve million, one hundred one thousand, eleven".