101100213 has 6 divisors (see below), whose sum is σ = 146033654. Its totient is φ = 67400136.

The previous prime is 101100211. The next prime is 101100227. The reversal of 101100213 is 312001101.

It can be written as a sum of positive squares in only one way, i.e., 93663684 + 7436529 = 9678^2 + 2727^2 .

It is not a de Polignac number, because 101100213 - 2¹ = 101100211 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: 11233357 = 101100213 / (1 + 0 + 1 + 1 + 0 + 0 + 2 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100195 and 101100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100211) 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 5 ways as a sum of consecutive naturals, for example, 5616670 + ... + 5616687.

Almost surely, 2^101100213 is an apocalyptic number.

It is an amenable number.

101100213 is a deficient number, since it is larger than the sum of its proper divisors (44933441).

101100213 is a wasteful number, since it uses less digits than its factorization.

101100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11233363 (or 11233360 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101100213 is about 10054.8601680978. The cubic root of 101100213 is about 465.8549239245.

Adding to 101100213 its reverse (312001101), we get a palindrome (413101314).

The spelling of 101100213 in words is "one hundred one million, one hundred thousand, two hundred thirteen".