1000002100221 has 40 divisors (see below), whose sum is σ = 1505513053440. Its totient is φ = 661472777952.

The previous prime is 1000002100183. The next prime is 1000002100243. The reversal of 1000002100221 is 1220012000001.

It is not a de Polignac number, because 1000002100221 - 2⁶ = 1000002100157 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000002100021) 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 39 ways as a sum of consecutive naturals, for example, 5770840 + ... + 5941598.

It is an arithmetic number, because the mean of its divisors is an integer number (37637826336).

Almost surely, 2^{1000002100221} is an apocalyptic number.

It is an amenable number.

1000002100221 is a deficient number, since it is larger than the sum of its proper divisors (505510953219).

1000002100221 is a wasteful number, since it uses less digits than its factorization.

1000002100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171335 (or 171326 counting only the distinct ones).

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

Adding to 1000002100221 its reverse (1220012000001), we get a palindrome (2220014100222).

The spelling of 1000002100221 in words is "one trillion, two million, one hundred thousand, two hundred twenty-one".