2122101 has 6 divisors (see below), whose sum is σ = 3065270. Its totient is φ = 1414728.

The previous prime is 2122079. The next prime is 2122103. The reversal of 2122101 is 1012212.

It can be written as a sum of positive squares in only one way, i.e., 2099601 + 22500 = 1449^2 + 150^2 .

It is not a de Polignac number, because 2122101 - 2¹⁴ = 2105717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 235789 = 2122101 / (2 + 1 + 2 + 2 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117886 + ... + 117903.

2^2122101 is an apocalyptic number.

It is an amenable number.

2122101 is a deficient number, since it is larger than the sum of its proper divisors (943169).

2122101 is a wasteful number, since it uses less digits than its factorization.

2122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235795 (or 235792 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2122101 is about 1456.7432855517. The cubic root of 2122101 is about 128.5055890416.

Adding to 2122101 its reverse (1012212), we get a palindrome (3134313).

It can be divided in two parts, 21 and 22101, that added together give a palindrome (22122).

The spelling of 2122101 in words is "two million, one hundred twenty-two thousand, one hundred one".