2101267 has 24 divisors (see below), whose sum is σ = 2685840. Its totient is φ = 1632960.

The previous prime is 2101261. The next prime is 2101277. The reversal of 2101267 is 7621012.

It is not a de Polignac number, because 2101267 - 2³ = 2101259 is a prime.

It is a super-3 number, since 3×2101267³ = 27833317576063803489, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (2101261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34417 + ... + 34477.

It is an arithmetic number, because the mean of its divisors is an integer number (111910).

2^2101267 is an apocalyptic number.

2101267 is a deficient number, since it is larger than the sum of its proper divisors (584573).

2101267 is a wasteful number, since it uses less digits than its factorization.

2101267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 2101267 is about 1449.5747652329. The cubic root of 2101267 is about 128.0836651910.

Adding to 2101267 its reverse (7621012), we get a palindrome (9722279).

The spelling of 2101267 in words is "two million, one hundred one thousand, two hundred sixty-seven".