101000221 has 12 divisors (see below), whose sum is σ = 118016220. Its totient is φ = 86184000.

The previous prime is 101000203. The next prime is 101000231. The reversal of 101000221 is 122000101.

It can be written as a sum of positive squares in 2 ways, for example, as 59074596 + 41925625 = 7686^2 + 6475^2 .

It is not a de Polignac number, because 101000221 - 2⁷ = 101000093 is a prime.

It is a super-3 number, since 3×101000221³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6721 + ... + 15721.

It is an arithmetic number, because the mean of its divisors is an integer number (9834685).

Almost surely, 2^101000221 is an apocalyptic number.

It is an amenable number.

101000221 is a deficient number, since it is larger than the sum of its proper divisors (17015999).

101000221 is an equidigital number, since it uses as much as digits as its factorization.

101000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9244 (or 9237 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 101000221 is about 10049.8866162758. The cubic root of 101000221 is about 465.7012904498.

Adding to 101000221 its reverse (122000101), we get a palindrome (223000322).

The spelling of 101000221 in words is "one hundred one million, two hundred twenty-one", and thus it is an aban number.