1010101 has 8 divisors (see below), whose sum is σ = 1041624. Its totient is φ = 979200.

The previous prime is 1010083. The next prime is 1010129.

1010101 is nontrivially palindromic in base 10.

1010101 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 483025 + 527076 = 695^2 + 726^2 .

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 1010101 - 2⁵ = 1010069 is a prime.

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

1010101 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

1010101 is an undulating number in base 10.

1010101 is a modest number, since divided by 10101 gives 1 as remainder.

1010101 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010131) by changing a digit.

It is a nontrivial repunit in base 100.

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 7 ways as a sum of consecutive naturals, for example, 7305 + ... + 7441.

It is an arithmetic number, because the mean of its divisors is an integer number (130203).

2^1010101 is an apocalyptic number.

It is an amenable number.

1010101 is a deficient number, since it is larger than the sum of its proper divisors (31523).

1010101 is a wasteful number, since it uses less digits than its factorization.

1010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1010101 is about 1005.0378102340. The cubic root of 1010101 is about 100.3355726503.

It can be divided in two parts, 1010 and 101, that added together give a palindrome (1111).

The spelling of 1010101 in words is "one million, ten thousand, one hundred one".