10001101000221 has 12 divisors (see below), whose sum is σ = 14836468150972. Its totient is φ = 6487200648576.

The previous prime is 10001101000181. The next prime is 10001101000313. The reversal of 10001101000221 is 12200010110001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5637723123321 + 4363377876900 = 2374389^2 + 2088870^2 .

It is not a de Polignac number, because 10001101000221 - 2⁹ = 10001100999709 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 (10001101007221) 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, 15016667836 + ... + 15016668501.

Almost surely, 2^{10001101000221} is an apocalyptic number.

It is an amenable number.

10001101000221 is a deficient number, since it is larger than the sum of its proper divisors (4835367150751).

10001101000221 is a wasteful number, since it uses less digits than its factorization.

10001101000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30033336380 (or 30033336377 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001101000221 its reverse (12200010110001), we get a palindrome (22201111110222).

The spelling of 10001101000221 in words is "ten trillion, one billion, one hundred one million, two hundred twenty-one", and thus it is an aban number.