2011112111021 has 8 divisors (see below), whose sum is σ = 2293213810104. Its totient is φ = 1747210521600.

The previous prime is 2011112110937. The next prime is 2011112111033. The reversal of 2011112111021 is 1201112111102.

It can be written as a sum of positive squares in 4 ways, for example, as 88491375625 + 1922620735396 = 297475^2 + 1386586^2 .

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 2011112111021 - 2¹⁸ = 2011111848877 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011112110987 and 2011112111005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011112111081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4550027180 + ... + 4550027621.

It is an arithmetic number, because the mean of its divisors is an integer number (286651726263).

Almost surely, 2^{2011112111021} is an apocalyptic number.

It is an amenable number.

2011112111021 is a deficient number, since it is larger than the sum of its proper divisors (282101699083).

2011112111021 is a wasteful number, since it uses less digits than its factorization.

2011112111021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9100054831.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2011112111021 its reverse (1201112111102), we get a palindrome (3212224222123).

It can be divided in two parts, 201111 and 2111021, that added together give a palindrome (2312132).

The spelling of 2011112111021 in words is "two trillion, eleven billion, one hundred twelve million, one hundred eleven thousand, twenty-one".