2111102101011 has 16 divisors (see below), whose sum is σ = 2823968842016. Its totient is φ = 1402818932736.

The previous prime is 2111102101007. The next prime is 2111102101049. The reversal of 2111102101011 is 1101012011112.

It is not a de Polignac number, because 2111102101011 - 2² = 2111102101007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2111102101001) 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, 17699871 + ... + 17818743.

It is an arithmetic number, because the mean of its divisors is an integer number (176498052626).

Almost surely, 2^{2111102101011} is an apocalyptic number.

2111102101011 is a deficient number, since it is larger than the sum of its proper divisors (712866741005).

2111102101011 is a wasteful number, since it uses less digits than its factorization.

2111102101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138102.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2111102101011 its reverse (1101012011112), we get a palindrome (3212114112123).

The spelling of 2111102101011 in words is "two trillion, one hundred eleven billion, one hundred two million, one hundred one thousand, eleven".