101200221 has 12 divisors (see below), whose sum is σ = 146725020. Its totient is φ = 67214400.

The previous prime is 101200219. The next prime is 101200223. The reversal of 101200221 is 122002101.

It is an interprime number because it is at equal distance from previous prime (101200219) and next prime (101200223).

It can be written as a sum of positive squares in 2 ways, for example, as 2595321 + 98604900 = 1611^2 + 9930^2 .

It is not a de Polignac number, because 101200221 - 2¹ = 101200219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18480 + ... + 23321.

It is an arithmetic number, because the mean of its divisors is an integer number (12227085).

Almost surely, 2^101200221 is an apocalyptic number.

It is an amenable number.

101200221 is a deficient number, since it is larger than the sum of its proper divisors (45524799).

101200221 is a wasteful number, since it uses less digits than its factorization.

101200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42076 (or 42073 counting only the distinct ones).

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

The square root of 101200221 is about 10059.8320562522. The cubic root of 101200221 is about 466.0084806920.

Adding to 101200221 its reverse (122002101), we get a palindrome (223202322).

The spelling of 101200221 in words is "one hundred one million, two hundred thousand, two hundred twenty-one".