10020100221 has 10 divisors (see below), whose sum is σ = 14968297982. Its totient is φ = 6680066760.

The previous prime is 10020100199. The next prime is 10020100273. The reversal of 10020100221 is 12200102001.

It can be written as a sum of positive squares in only one way, i.e., 8418980025 + 1601120196 = 91755^2 + 40014^2 .

It is not a de Polignac number, because 10020100221 - 2¹⁰ = 10020099197 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020100421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 61852390 + ... + 61852551.

Almost surely, 2^10020100221 is an apocalyptic number.

It is an amenable number.

10020100221 is a deficient number, since it is larger than the sum of its proper divisors (4948197761).

10020100221 is an equidigital number, since it uses as much as digits as its factorization.

10020100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123704953 (or 123704944 counting only the distinct ones).

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

Adding to 10020100221 its reverse (12200102001), we get a palindrome (22220202222).

The spelling of 10020100221 in words is "ten billion, twenty million, one hundred thousand, two hundred twenty-one".