1002000110221 has 16 divisors (see below), whose sum is σ = 1127813103360. Its totient is φ = 882409245120.

The previous prime is 1002000110203. The next prime is 1002000110249. The reversal of 1002000110221 is 1220110002001.

It is not a de Polignac number, because 1002000110221 - 2¹⁵ = 1002000077453 is a prime.

It is a super-2 number, since 2×1002000110221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002000110198 and 1002000110207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002000110021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10831770 + ... + 10923883.

It is an arithmetic number, because the mean of its divisors is an integer number (70488318960).

Almost surely, 2^{1002000110221} is an apocalyptic number.

1002000110221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002000110221 is a deficient number, since it is larger than the sum of its proper divisors (125812993139).

1002000110221 is a wasteful number, since it uses less digits than its factorization.

1002000110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21755796.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002000110221 its reverse (1220110002001), we get a palindrome (2222110112222).

The spelling of 1002000110221 in words is "one trillion, two billion, one hundred ten thousand, two hundred twenty-one".