2011112101010 has 8 divisors (see below), whose sum is σ = 3620001781836. Its totient is φ = 804444840400.

The previous prime is 2011112101007. The next prime is 2011112101013. The reversal of 2011112101010 is 101012111102.

It is an interprime number because it is at equal distance from previous prime (2011112101007) and next prime (2011112101013).

It can be written as a sum of positive squares in 2 ways, for example, as 1991403591241 + 19708509769 = 1411171^2 + 140387^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 2011112100982 and 2011112101000.

It is not an unprimeable number, because it can be changed into a prime (2011112101013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100555605041 + ... + 100555605060.

Almost surely, 2^{2011112101010} is an apocalyptic number.

2011112101010 is a deficient number, since it is larger than the sum of its proper divisors (1608889680826).

2011112101010 is a wasteful number, since it uses less digits than its factorization.

2011112101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201111210108.

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

Adding to 2011112101010 its reverse (101012111102), we get a palindrome (2112124212112).

The spelling of 2011112101010 in words is "two trillion, eleven billion, one hundred twelve million, one hundred one thousand, ten".