1000102210221 has 32 divisors (see below), whose sum is σ = 1384683477120. Its totient is φ = 641735875584.

The previous prime is 1000102210201. The next prime is 1000102210223. The reversal of 1000102210221 is 1220122010001.

It is not a de Polignac number, because 1000102210221 - 2⁶ = 1000102210157 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1000102210197 and 1000102210206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000102210223) 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, 1487691 + ... + 2052663.

It is an arithmetic number, because the mean of its divisors is an integer number (43271358660).

Almost surely, 2^{1000102210221} is an apocalyptic number.

It is an amenable number.

1000102210221 is a deficient number, since it is larger than the sum of its proper divisors (384581266899).

1000102210221 is a wasteful number, since it uses less digits than its factorization.

1000102210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565245.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000102210221 its reverse (1220122010001), we get a palindrome (2220224220222).

The spelling of 1000102210221 in words is "one trillion, one hundred two million, two hundred ten thousand, two hundred twenty-one".