10101002003221 has 8 divisors (see below), whose sum is σ = 10292119007544. Its totient is φ = 9909904704960.

The previous prime is 10101002003219. The next prime is 10101002003237. The reversal of 10101002003221 is 12230020010101.

10101002003221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1364165600625 + 8736836402596 = 1167975^2 + 2955814^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10101002003221 - 2¹ = 10101002003219 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101002001221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3889606 + ... + 5943991.

It is an arithmetic number, because the mean of its divisors is an integer number (1286514875943).

Almost surely, 2^{10101002003221} is an apocalyptic number.

It is an amenable number.

10101002003221 is a deficient number, since it is larger than the sum of its proper divisors (191117004323).

10101002003221 is an equidigital number, since it uses as much as digits as its factorization.

10101002003221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9853031.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10101002003221 its reverse (12230020010101), we get a palindrome (22331022013322).

The spelling of 10101002003221 in words is "ten trillion, one hundred one billion, two million, three thousand, two hundred twenty-one".