1014101 has 18 divisors (see below), whose sum is σ = 1224930. Its totient is φ = 837760.

The previous prime is 1014089. The next prime is 1014113.

1014101 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1014089) and next prime (1014113).

It can be written as a sum of positive squares in 3 ways, for example, as 421201 + 592900 = 649^2 + 770^2 .

It is not a de Polignac number, because 1014101 - 2⁶ = 1014037 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34955 + ... + 34983.

2^1014101 is an apocalyptic number.

1014101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1014101 is a deficient number, since it is larger than the sum of its proper divisors (210829).

1014101 is a wasteful number, since it uses less digits than its factorization.

1014101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1014101 is about 1007.0258189342. The cubic root of 1014101 is about 100.4678411665.

The spelling of 1014101 in words is "one million, fourteen thousand, one hundred one".