2102121021011 has 24 divisors (see below), whose sum is σ = 2375341922304. Its totient is φ = 1844876764640.

The previous prime is 2102121021001. The next prime is 2102121021017. The reversal of 2102121021011 is 1101201212012.

It is not a de Polignac number, because 2102121021011 - 2⁶ = 2102121020947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102121021017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132309110 + ... + 132324996.

It is an arithmetic number, because the mean of its divisors is an integer number (98972580096).

Almost surely, 2^{2102121021011} is an apocalyptic number.

2102121021011 is a deficient number, since it is larger than the sum of its proper divisors (273220901293).

2102121021011 is a wasteful number, since it uses less digits than its factorization.

2102121021011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30259 (or 30230 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2102121021011 its reverse (1101201212012), we get a palindrome (3203322233023).

The spelling of 2102121021011 in words is "two trillion, one hundred two billion, one hundred twenty-one million, twenty-one thousand, eleven".