1001010110221 has 4 divisors (see below), whose sum is σ = 1092011029344. Its totient is φ = 910009191100.

The previous prime is 1001010110213. The next prime is 1001010110231. The reversal of 1001010110221 is 1220110101001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1001010110221 - 2³ = 1001010110213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001010110198 and 1001010110207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001010110231) 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 3 ways as a sum of consecutive naturals, for example, 45500459545 + ... + 45500459566.

It is an arithmetic number, because the mean of its divisors is an integer number (273002757336).

Almost surely, 2^{1001010110221} is an apocalyptic number.

1001010110221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001010110221 is a deficient number, since it is larger than the sum of its proper divisors (91000919123).

1001010110221 is an equidigital number, since it uses as much as digits as its factorization.

1001010110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91000919122.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001010110221 its reverse (1220110101001), we get a palindrome (2221120211222).

The spelling of 1001010110221 in words is "one trillion, one billion, ten million, one hundred ten thousand, two hundred twenty-one".