1001011210221 has 32 divisors (see below), whose sum is σ = 1501326199296. Its totient is φ = 587925000000.

The previous prime is 1001011210159. The next prime is 1001011210261. The reversal of 1001011210221 is 1220121101001.

It is not a de Polignac number, because 1001011210221 - 2¹¹ = 1001011208173 is a prime.

It is a super-2 number, since 2×1001011210221² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001011210197 and 1001011210206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001011210261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1326655 + ... + 1939596.

It is an arithmetic number, because the mean of its divisors is an integer number (46916443728).

Almost surely, 2^{1001011210221} is an apocalyptic number.

1001011210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001011210221 is a deficient number, since it is larger than the sum of its proper divisors (500314989075).

1001011210221 is a wasteful number, since it uses less digits than its factorization.

1001011210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266553.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001011210221 its reverse (1220121101001), we get a palindrome (2221132311222).

The spelling of 1001011210221 in words is "one trillion, one billion, eleven million, two hundred ten thousand, two hundred twenty-one".