10101 has 16 divisors (see below), whose sum is σ = 17024. Its totient is φ = 5184.

The previous prime is 10099. The next prime is 10103.

10101 is nontrivially palindromic in base 10.

10101 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (10099) and next prime (10103).

It is not a de Polignac number, because 10101 - 2^{1} = 10099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

10101 is a strobogrammatic number because it is the same when read upside-down.

It is the 101-st Hogben number.

10101 is an undulating number in base 10.

10101 is a modest number, since divided by 101 gives 1 as remainder.

It is a nialpdrome in base 11.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103) by changing a digit.

It is a nontrivial repunit in base 100.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255 + ... + 291.

It is an arithmetic number, because the mean of its divisors is an integer number (1064).

It is an amenable number.

10101 is a deficient number, since it is larger than the sum of its proper divisors (6923).

10101 is a wasteful number, since it uses less digits than its factorization.

10101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60.

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 10101 is about 100.5037312740. The cubic root of 10101 is about 21.6166367027.

It can be divided in two parts, 10 and 101, that added together give a palindrome (111).

The spelling of 10101 in words is "ten thousand, one hundred one", and thus it is an iban number.

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