2112111001 has 16 divisors (see below), whose sum is σ = 2835842688. Its totient is φ = 1519200000.

The previous prime is 2112110993. The next prime is 2112111011. The reversal of 2112111001 is 1001112112.

It is a cyclic number.

It is not a de Polignac number, because 2112111001 - 2³ = 2112110993 is a prime.

It is a super-2 number, since 2×2112111001² = 8922025761090444002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112111011) 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, 1054000 + ... + 1056001.

It is an arithmetic number, because the mean of its divisors is an integer number (177240168).

Almost surely, 2^2112111001 is an apocalyptic number.

It is an amenable number.

2112111001 is a deficient number, since it is larger than the sum of its proper divisors (723731687).

2112111001 is a wasteful number, since it uses less digits than its factorization.

2112111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110032.

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

The square root of 2112111001 is about 45957.7088310547. The cubic root of 2112111001 is about 1283.0362088469.

Adding to 2112111001 its reverse (1001112112), we get a palindrome (3113223113).

It can be divided in two parts, 211211 and 1001, that added together give a palindrome (212212).

The spelling of 2112111001 in words is "two billion, one hundred twelve million, one hundred eleven thousand, one".