10000221000201 has 40 divisors (see below), whose sum is σ = 14965028111880. Its totient is φ = 6655029092352.

The previous prime is 10000221000191. The next prime is 10000221000239. The reversal of 10000221000201 is 10200012200001.

It can be written as a sum of positive squares in 4 ways, for example, as 25488441801 + 9974732558400 = 159651^2 + 3158280^2 .

It is not a de Polignac number, because 10000221000201 - 2⁷ = 10000221000073 is a prime.

It is a super-2 number, since 2×10000221000201² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10000221000701) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 128881545 + ... + 128959113.

It is an arithmetic number, because the mean of its divisors is an integer number (374125702797).

Almost surely, 2^{10000221000201} is an apocalyptic number.

It is an amenable number.

10000221000201 is a deficient number, since it is larger than the sum of its proper divisors (4964807111679).

10000221000201 is an equidigital number, since it uses as much as digits as its factorization.

10000221000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80375 (or 80366 counting only the distinct ones).

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

Adding to 10000221000201 its reverse (10200012200001), we get a palindrome (20200233200202).

The spelling of 10000221000201 in words is "ten trillion, two hundred twenty-one million, two hundred one", and thus it is an aban number.