2102010011011 has 8 divisors (see below), whose sum is σ = 2103037977600. Its totient is φ = 2100982175688.

The previous prime is 2102010010937. The next prime is 2102010011033. The reversal of 2102010011011 is 1101100102012.

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

It is a cyclic number.

It is not a de Polignac number, because 2102010011011 - 2¹¹ = 2102010008963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102010011051) 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 7 ways as a sum of consecutive naturals, for example, 49174930 + ... + 49217656.

It is an arithmetic number, because the mean of its divisors is an integer number (262879747200).

Almost surely, 2^{2102010011011} is an apocalyptic number.

2102010011011 is a deficient number, since it is larger than the sum of its proper divisors (1027966589).

2102010011011 is a wasteful number, since it uses less digits than its factorization.

2102010011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65633.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2102010011011 its reverse (1101100102012), we get a palindrome (3203110113023).

It can be divided in two parts, 210201001 and 1011, that added together give a palindrome (210202012).

The spelling of 2102010011011 in words is "two trillion, one hundred two billion, ten million, eleven thousand, eleven".